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Finding the Fourth Proportional to 457,717.60, 686,576.40 and 417,167.20

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Solution

The fourth proportional to 457,717.60, 686,576.40 and 417,167.20 is: 625,750.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,717.60 : 686,576.40 = 417,167.20 : x
  2. Step 2: Convert to fraction form
    457,717.60/686,576.40 = 417,167.20/x
  3. Step 3: Cross multiply
    457,717.60x = 686,576.40 × 417,167.20
  4. Step 4: Simplify right side
    457,717.60x = 286,417,154,374.08
  5. Step 5: Solve for x
    x = 286,417,154,374.08/457,717.60
  6. Step 6: Final answer
    x = 625,750.80

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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.