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Finding the Fourth Proportional to 457,467.10, 686,200.65 and 431,806.30

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Solution

The fourth proportional to 457,467.10, 686,200.65 and 431,806.30 is: 647,709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,467.10 : 686,200.65 = 431,806.30 : x
  2. Step 2: Convert to fraction form
    457,467.10/686,200.65 = 431,806.30/x
  3. Step 3: Cross multiply
    457,467.10x = 686,200.65 × 431,806.30
  4. Step 4: Simplify right side
    457,467.10x = 296,305,763,734.10
  5. Step 5: Solve for x
    x = 296,305,763,734.10/457,467.10
  6. Step 6: Final answer
    x = 647,709.45

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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.