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Finding the Fourth Proportional to 647,584.90, 971,377.35 and 204,352.90

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Solution

The fourth proportional to 647,584.90, 971,377.35 and 204,352.90 is: 306,529.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,584.90 : 971,377.35 = 204,352.90 : x
  2. Step 2: Convert to fraction form
    647,584.90/971,377.35 = 204,352.90/x
  3. Step 3: Cross multiply
    647,584.90x = 971,377.35 × 204,352.90
  4. Step 4: Simplify right side
    647,584.90x = 198,503,778,466.82
  5. Step 5: Solve for x
    x = 198,503,778,466.82/647,584.90
  6. Step 6: Final answer
    x = 306,529.35

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.