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Finding the Fourth Proportional to 610,930.88, 843,044.10 and 338,981.54

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Solution

The fourth proportional to 610,930.88, 843,044.10 and 338,981.54 is: 467,772.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,930.88 : 843,044.10 = 338,981.54 : x
  2. Step 2: Convert to fraction form
    610,930.88/843,044.10 = 338,981.54/x
  3. Step 3: Cross multiply
    610,930.88x = 843,044.10 × 338,981.54
  4. Step 4: Simplify right side
    610,930.88x = 285,776,387,305.91
  5. Step 5: Solve for x
    x = 285,776,387,305.91/610,930.88
  6. Step 6: Final answer
    x = 467,772.05

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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.