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Finding the Fourth Proportional to 647,694,302.40, 971,541,453.60 and 531,468,155.70

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Solution

The fourth proportional to 647,694,302.40, 971,541,453.60 and 531,468,155.70 is: 797,202,233.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,694,302.40 : 971,541,453.60 = 531,468,155.70 : x
  2. Step 2: Convert to fraction form
    647,694,302.40/971,541,453.60 = 531,468,155.70/x
  3. Step 3: Cross multiply
    647,694,302.40x = 971,541,453.60 × 531,468,155.70
  4. Step 4: Simplify right side
    647,694,302.40x = 516,343,344,530,889,152
  5. Step 5: Solve for x
    x = 516,343,344,530,889,152/647,694,302.40
  6. Step 6: Final answer
    x = 797,202,233.55

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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.