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Finding the Fourth Proportional to 332,042.40, 498,128.40 and 142,502.40

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Solution

The fourth proportional to 332,042.40, 498,128.40 and 142,502.40 is: 213,781.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,042.40 : 498,128.40 = 142,502.40 : x
  2. Step 2: Convert to fraction form
    332,042.40/498,128.40 = 142,502.40/x
  3. Step 3: Cross multiply
    332,042.40x = 498,128.40 × 142,502.40
  4. Step 4: Simplify right side
    332,042.40x = 70,984,492,508.16
  5. Step 5: Solve for x
    x = 70,984,492,508.16/332,042.40
  6. Step 6: Final answer
    x = 213,781.41

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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.