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Finding the Fourth Proportional to 305,207.70, 457,487.55 and 147,333.30

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Solution

The fourth proportional to 305,207.70, 457,487.55 and 147,333.30 is: 220,843.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,207.70 : 457,487.55 = 147,333.30 : x
  2. Step 2: Convert to fraction form
    305,207.70/457,487.55 = 147,333.30/x
  3. Step 3: Cross multiply
    305,207.70x = 457,487.55 × 147,333.30
  4. Step 4: Simplify right side
    305,207.70x = 67,403,150,450.42
  5. Step 5: Solve for x
    x = 67,403,150,450.42/305,207.70
  6. Step 6: Final answer
    x = 220,843.55

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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.