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Finding the Fourth Proportional to 392,133.56, 588,255.42 and 155,500.16

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Solution

The fourth proportional to 392,133.56, 588,255.42 and 155,500.16 is: 233,272.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,133.56 : 588,255.42 = 155,500.16 : x
  2. Step 2: Convert to fraction form
    392,133.56/588,255.42 = 155,500.16/x
  3. Step 3: Cross multiply
    392,133.56x = 588,255.42 × 155,500.16
  4. Step 4: Simplify right side
    392,133.56x = 91,473,811,930.87
  5. Step 5: Solve for x
    x = 91,473,811,930.87/392,133.56
  6. Step 6: Final answer
    x = 233,272.08

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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.