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Finding the Fourth Proportional to 503,874,650.97, 695,645,294.82 and 447,965,646.41

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Solution

The fourth proportional to 503,874,650.97, 695,645,294.82 and 447,965,646.41 is: 618,457,772.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,874,650.97 : 695,645,294.82 = 447,965,646.41 : x
  2. Step 2: Convert to fraction form
    503,874,650.97/695,645,294.82 = 447,965,646.41/x
  3. Step 3: Cross multiply
    503,874,650.97x = 695,645,294.82 × 447,965,646.41
  4. Step 4: Simplify right side
    503,874,650.97x = 311,625,194,166,175,552
  5. Step 5: Solve for x
    x = 311,625,194,166,175,552/503,874,650.97
  6. Step 6: Final answer
    x = 618,457,772.32

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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.