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Finding the Fourth Proportional to 331,686.48, 457,715.16 and 180,780.24

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Solution

The fourth proportional to 331,686.48, 457,715.16 and 180,780.24 is: 249,470.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,686.48 : 457,715.16 = 180,780.24 : x
  2. Step 2: Convert to fraction form
    331,686.48/457,715.16 = 180,780.24/x
  3. Step 3: Cross multiply
    331,686.48x = 457,715.16 × 180,780.24
  4. Step 4: Simplify right side
    331,686.48x = 82,745,856,476.44
  5. Step 5: Solve for x
    x = 82,745,856,476.44/331,686.48
  6. Step 6: Final answer
    x = 249,470.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.