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Finding the Fourth Proportional to 647,359, 971,038.50 and 204,127

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Solution

The fourth proportional to 647,359, 971,038.50 and 204,127 is: 306,190.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,359 : 971,038.50 = 204,127 : x
  2. Step 2: Convert to fraction form
    647,359/971,038.50 = 204,127/x
  3. Step 3: Cross multiply
    647,359x = 971,038.50 × 204,127
  4. Step 4: Simplify right side
    647,359x = 198,215,175,889.50
  5. Step 5: Solve for x
    x = 198,215,175,889.50/647,359
  6. Step 6: Final answer
    x = 306,190.50

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Similar ratio
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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.