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Finding the Fourth Proportional to 442,225, 663,441.18 and 146,737

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Solution

The fourth proportional to 442,225, 663,441.18 and 146,737 is: 220,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,225 : 663,441.18 = 146,737 : x
  2. Step 2: Convert to fraction form
    442,225/663,441.18 = 146,737/x
  3. Step 3: Cross multiply
    442,225x = 663,441.18 × 146,737
  4. Step 4: Simplify right side
    442,225x = 97,351,368,429.66
  5. Step 5: Solve for x
    x = 97,351,368,429.66/442,225
  6. Step 6: Final answer
    x = 220,139.90

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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.