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Finding the Fourth Proportional to 392,110.40, 588,360.18 and 155,447.84

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Solution

The fourth proportional to 392,110.40, 588,360.18 and 155,447.84 is: 233,248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,110.40 : 588,360.18 = 155,447.84 : x
  2. Step 2: Convert to fraction form
    392,110.40/588,360.18 = 155,447.84/x
  3. Step 3: Cross multiply
    392,110.40x = 588,360.18 × 155,447.84
  4. Step 4: Simplify right side
    392,110.40x = 91,459,319,123.01
  5. Step 5: Solve for x
    x = 91,459,319,123.01/392,110.40
  6. Step 6: Final answer
    x = 233,248.90

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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.