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Finding the Fourth Proportional to 392,434.88, 588,740.07 and 143,116.88

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Solution

The fourth proportional to 392,434.88, 588,740.07 and 143,116.88 is: 214,707.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,434.88 : 588,740.07 = 143,116.88 : x
  2. Step 2: Convert to fraction form
    392,434.88/588,740.07 = 143,116.88/x
  3. Step 3: Cross multiply
    392,434.88x = 588,740.07 × 143,116.88
  4. Step 4: Simplify right side
    392,434.88x = 84,258,639,005.68
  5. Step 5: Solve for x
    x = 84,258,639,005.68/392,434.88
  6. Step 6: Final answer
    x = 214,707.32

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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.