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Finding the Fourth Proportional to 392,435.88, 588,741.57 and 143,117.88

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Solution

The fourth proportional to 392,435.88, 588,741.57 and 143,117.88 is: 214,708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,435.88 : 588,741.57 = 143,117.88 : x
  2. Step 2: Convert to fraction form
    392,435.88/588,741.57 = 143,117.88/x
  3. Step 3: Cross multiply
    392,435.88x = 588,741.57 × 143,117.88
  4. Step 4: Simplify right side
    392,435.88x = 84,259,445,366.27
  5. Step 5: Solve for x
    x = 84,259,445,366.27/392,435.88
  6. Step 6: Final answer
    x = 214,708.82

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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.