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Finding the Fourth Proportional to 353,452.20, 530,178.30 and 142,981.80

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Solution

The fourth proportional to 353,452.20, 530,178.30 and 142,981.80 is: 214,472.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,452.20 : 530,178.30 = 142,981.80 : x
  2. Step 2: Convert to fraction form
    353,452.20/530,178.30 = 142,981.80/x
  3. Step 3: Cross multiply
    353,452.20x = 530,178.30 × 142,981.80
  4. Step 4: Simplify right side
    353,452.20x = 75,805,847,654.94
  5. Step 5: Solve for x
    x = 75,805,847,654.94/353,452.20
  6. Step 6: Final answer
    x = 214,472.70

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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.