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Finding the Fourth Proportional to 417,026,838.29, 621,855,778.03 and 413,283,791.38

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Solution

The fourth proportional to 417,026,838.29, 621,855,778.03 and 413,283,791.38 is: 616,274,277.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,026,838.29 : 621,855,778.03 = 413,283,791.38 : x
  2. Step 2: Convert to fraction form
    417,026,838.29/621,855,778.03 = 413,283,791.38/x
  3. Step 3: Cross multiply
    417,026,838.29x = 621,855,778.03 × 413,283,791.38
  4. Step 4: Simplify right side
    417,026,838.29x = 257,002,913,634,385,568
  5. Step 5: Solve for x
    x = 257,002,913,634,385,568/417,026,838.29
  6. Step 6: Final answer
    x = 616,274,277.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.