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Finding the Fourth Proportional to 392,781.41, 542,084.58 and 220,699.74

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Solution

The fourth proportional to 392,781.41, 542,084.58 and 220,699.74 is: 304,591.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,781.41 : 542,084.58 = 220,699.74 : x
  2. Step 2: Convert to fraction form
    392,781.41/542,084.58 = 220,699.74/x
  3. Step 3: Cross multiply
    392,781.41x = 542,084.58 × 220,699.74
  4. Step 4: Simplify right side
    392,781.41x = 119,637,925,864.01
  5. Step 5: Solve for x
    x = 119,637,925,864.01/392,781.41
  6. Step 6: Final answer
    x = 304,591.62

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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.