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Finding the Fourth Proportional to 457,251.60, 685,877.40 and 297,819.30

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Solution

The fourth proportional to 457,251.60, 685,877.40 and 297,819.30 is: 446,728.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,251.60 : 685,877.40 = 297,819.30 : x
  2. Step 2: Convert to fraction form
    457,251.60/685,877.40 = 297,819.30/x
  3. Step 3: Cross multiply
    457,251.60x = 685,877.40 × 297,819.30
  4. Step 4: Simplify right side
    457,251.60x = 204,267,527,153.82
  5. Step 5: Solve for x
    x = 204,267,527,153.82/457,251.60
  6. Step 6: Final answer
    x = 446,728.95

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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.