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Finding the Fourth Proportional to 392,200.79, 588,223.71 and 107,817.95

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Solution

The fourth proportional to 392,200.79, 588,223.71 and 107,817.95 is: 161,705.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,200.79 : 588,223.71 = 107,817.95 : x
  2. Step 2: Convert to fraction form
    392,200.79/588,223.71 = 107,817.95/x
  3. Step 3: Cross multiply
    392,200.79x = 588,223.71 × 107,817.95
  4. Step 4: Simplify right side
    392,200.79x = 63,421,071,612.48
  5. Step 5: Solve for x
    x = 63,421,071,612.48/392,200.79
  6. Step 6: Final answer
    x = 161,705.62

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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.