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Finding the Fourth Proportional to 457,306.10, 685,959.15 and 431,645.30

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Solution

The fourth proportional to 457,306.10, 685,959.15 and 431,645.30 is: 647,467.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,306.10 : 685,959.15 = 431,645.30 : x
  2. Step 2: Convert to fraction form
    457,306.10/685,959.15 = 431,645.30/x
  3. Step 3: Cross multiply
    457,306.10x = 685,959.15 × 431,645.30
  4. Step 4: Simplify right side
    457,306.10x = 296,091,043,089.50
  5. Step 5: Solve for x
    x = 296,091,043,089.50/457,306.10
  6. Step 6: Final answer
    x = 647,467.95

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Double scale
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Similar ratio
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1.5x scale

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.