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Finding the Fourth Proportional to 869,787,731.52, 1,200,307,265.82 and 478,647,155.52

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Solution

The fourth proportional to 869,787,731.52, 1,200,307,265.82 and 478,647,155.52 is: 660,533,182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,787,731.52 : 1,200,307,265.82 = 478,647,155.52 : x
  2. Step 2: Convert to fraction form
    869,787,731.52/1,200,307,265.82 = 478,647,155.52/x
  3. Step 3: Cross multiply
    869,787,731.52x = 1,200,307,265.82 × 478,647,155.52
  4. Step 4: Simplify right side
    869,787,731.52x = 574,523,658,534,731,456
  5. Step 5: Solve for x
    x = 574,523,658,534,731,456/869,787,731.52
  6. Step 6: Final answer
    x = 660,533,182.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.