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Finding the Fourth Proportional to 438,885, 658,327.77 and 106,461

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Solution

The fourth proportional to 438,885, 658,327.77 and 106,461 is: 159,691.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,885 : 658,327.77 = 106,461 : x
  2. Step 2: Convert to fraction form
    438,885/658,327.77 = 106,461/x
  3. Step 3: Cross multiply
    438,885x = 658,327.77 × 106,461
  4. Step 4: Simplify right side
    438,885x = 70,086,232,721.97
  5. Step 5: Solve for x
    x = 70,086,232,721.97/438,885
  6. Step 6: Final answer
    x = 159,691.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.