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Finding the Fourth Proportional to 331,429, 457,372.02 and 180,526

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Solution

The fourth proportional to 331,429, 457,372.02 and 180,526 is: 249,125.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,429 : 457,372.02 = 180,526 : x
  2. Step 2: Convert to fraction form
    331,429/457,372.02 = 180,526/x
  3. Step 3: Cross multiply
    331,429x = 457,372.02 × 180,526
  4. Step 4: Simplify right side
    331,429x = 82,567,541,282.52
  5. Step 5: Solve for x
    x = 82,567,541,282.52/331,429
  6. Step 6: Final answer
    x = 249,125.88

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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.