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Finding the Fourth Proportional to 442,098.80, 663,148.20 and 146,572.40

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Solution

The fourth proportional to 442,098.80, 663,148.20 and 146,572.40 is: 219,858.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,098.80 : 663,148.20 = 146,572.40 : x
  2. Step 2: Convert to fraction form
    442,098.80/663,148.20 = 146,572.40/x
  3. Step 3: Cross multiply
    442,098.80x = 663,148.20 × 146,572.40
  4. Step 4: Simplify right side
    442,098.80x = 97,199,223,229.68
  5. Step 5: Solve for x
    x = 97,199,223,229.68/442,098.80
  6. Step 6: Final answer
    x = 219,858.60

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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.