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Finding the Fourth Proportional to 457,467.60, 686,201.40 and 431,806.80

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Solution

The fourth proportional to 457,467.60, 686,201.40 and 431,806.80 is: 647,710.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,467.60 : 686,201.40 = 431,806.80 : x
  2. Step 2: Convert to fraction form
    457,467.60/686,201.40 = 431,806.80/x
  3. Step 3: Cross multiply
    457,467.60x = 686,201.40 × 431,806.80
  4. Step 4: Simplify right side
    457,467.60x = 296,306,430,689.52
  5. Step 5: Solve for x
    x = 296,306,430,689.52/457,467.60
  6. Step 6: Final answer
    x = 647,710.20

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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.