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Finding the Fourth Proportional to 721,754,433.78, 995,850,406.99 and 408,488,647.64

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Solution

The fourth proportional to 721,754,433.78, 995,850,406.99 and 408,488,647.64 is: 563,617,716.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,754,433.78 : 995,850,406.99 = 408,488,647.64 : x
  2. Step 2: Convert to fraction form
    721,754,433.78/995,850,406.99 = 408,488,647.64/x
  3. Step 3: Cross multiply
    721,754,433.78x = 995,850,406.99 × 408,488,647.64
  4. Step 4: Simplify right side
    721,754,433.78x = 406,793,586,001,929,152
  5. Step 5: Solve for x
    x = 406,793,586,001,929,152/721,754,433.78
  6. Step 6: Final answer
    x = 563,617,716.72

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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.