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Finding the Fourth Proportional to 442,115.80, 663,173.70 and 146,627.80

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Solution

The fourth proportional to 442,115.80, 663,173.70 and 146,627.80 is: 219,941.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,115.80 : 663,173.70 = 146,627.80 : x
  2. Step 2: Convert to fraction form
    442,115.80/663,173.70 = 146,627.80/x
  3. Step 3: Cross multiply
    442,115.80x = 663,173.70 × 146,627.80
  4. Step 4: Simplify right side
    442,115.80x = 97,239,700,648.86
  5. Step 5: Solve for x
    x = 97,239,700,648.86/442,115.80
  6. Step 6: Final answer
    x = 219,941.70

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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.