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Finding the Fourth Proportional to 331,614, 457,630.56 and 180,714.24

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Solution

The fourth proportional to 331,614, 457,630.56 and 180,714.24 is: 249,387.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,614 : 457,630.56 = 180,714.24 : x
  2. Step 2: Convert to fraction form
    331,614/457,630.56 = 180,714.24/x
  3. Step 3: Cross multiply
    331,614x = 457,630.56 × 180,714.24
  4. Step 4: Simplify right side
    331,614x = 82,700,358,851.17
  5. Step 5: Solve for x
    x = 82,700,358,851.17/331,614
  6. Step 6: Final answer
    x = 249,387.42

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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.