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Finding the Fourth Proportional to 647,534.60, 971,301.90 and 204,302.60

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Solution

The fourth proportional to 647,534.60, 971,301.90 and 204,302.60 is: 306,453.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,534.60 : 971,301.90 = 204,302.60 : x
  2. Step 2: Convert to fraction form
    647,534.60/971,301.90 = 204,302.60/x
  3. Step 3: Cross multiply
    647,534.60x = 971,301.90 × 204,302.60
  4. Step 4: Simplify right side
    647,534.60x = 198,439,503,554.94
  5. Step 5: Solve for x
    x = 198,439,503,554.94/647,534.60
  6. Step 6: Final answer
    x = 306,453.90

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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.