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Finding the Fourth Proportional to 305,404.62, 458,155.53 and 147,644.70

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Solution

The fourth proportional to 305,404.62, 458,155.53 and 147,644.70 is: 221,490.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,404.62 : 458,155.53 = 147,644.70 : x
  2. Step 2: Convert to fraction form
    305,404.62/458,155.53 = 147,644.70/x
  3. Step 3: Cross multiply
    305,404.62x = 458,155.53 × 147,644.70
  4. Step 4: Simplify right side
    305,404.62x = 67,644,235,780.19
  5. Step 5: Solve for x
    x = 67,644,235,780.19/305,404.62
  6. Step 6: Final answer
    x = 221,490.55

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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.