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Finding the Fourth Proportional to 442,248, 663,475.68 and 146,760

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Solution

The fourth proportional to 442,248, 663,475.68 and 146,760 is: 220,174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,248 : 663,475.68 = 146,760 : x
  2. Step 2: Convert to fraction form
    442,248/663,475.68 = 146,760/x
  3. Step 3: Cross multiply
    442,248x = 663,475.68 × 146,760
  4. Step 4: Simplify right side
    442,248x = 97,371,690,796.80
  5. Step 5: Solve for x
    x = 97,371,690,796.80/442,248
  6. Step 6: Final answer
    x = 220,174.41

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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.