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Finding the Fourth Proportional to 524,649,691.23, 723,755,068.02 and 312,807,117.21

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Solution

The fourth proportional to 524,649,691.23, 723,755,068.02 and 312,807,117.21 is: 431,517,906.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,649,691.23 : 723,755,068.02 = 312,807,117.21 : x
  2. Step 2: Convert to fraction form
    524,649,691.23/723,755,068.02 = 312,807,117.21/x
  3. Step 3: Cross multiply
    524,649,691.23x = 723,755,068.02 × 312,807,117.21
  4. Step 4: Simplify right side
    524,649,691.23x = 226,395,736,393,463,648
  5. Step 5: Solve for x
    x = 226,395,736,393,463,648/524,649,691.23
  6. Step 6: Final answer
    x = 431,517,906.48

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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.