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Finding the Fourth Proportional to 331,631.62, 457,651.65 and 180,728.50

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Solution

The fourth proportional to 331,631.62, 457,651.65 and 180,728.50 is: 249,405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,631.62 : 457,651.65 = 180,728.50 : x
  2. Step 2: Convert to fraction form
    331,631.62/457,651.65 = 180,728.50/x
  3. Step 3: Cross multiply
    331,631.62x = 457,651.65 × 180,728.50
  4. Step 4: Simplify right side
    331,631.62x = 82,710,696,227.03
  5. Step 5: Solve for x
    x = 82,710,696,227.03/331,631.62
  6. Step 6: Final answer
    x = 249,405.34

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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.