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Finding the Fourth Proportional to 332,039.40, 498,123.90 and 142,499.40

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Solution

The fourth proportional to 332,039.40, 498,123.90 and 142,499.40 is: 213,776.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,039.40 : 498,123.90 = 142,499.40 : x
  2. Step 2: Convert to fraction form
    332,039.40/498,123.90 = 142,499.40/x
  3. Step 3: Cross multiply
    332,039.40x = 498,123.90 × 142,499.40
  4. Step 4: Simplify right side
    332,039.40x = 70,982,356,875.66
  5. Step 5: Solve for x
    x = 70,982,356,875.66/332,039.40
  6. Step 6: Final answer
    x = 213,776.91

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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.