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Finding the Fourth Proportional to 331,549.50, 457,538.32 and 180,646.50

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Solution

The fourth proportional to 331,549.50, 457,538.32 and 180,646.50 is: 249,292.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,549.50 : 457,538.32 = 180,646.50 : x
  2. Step 2: Convert to fraction form
    331,549.50/457,538.32 = 180,646.50/x
  3. Step 3: Cross multiply
    331,549.50x = 457,538.32 × 180,646.50
  4. Step 4: Simplify right side
    331,549.50x = 82,652,696,123.88
  5. Step 5: Solve for x
    x = 82,652,696,123.88/331,549.50
  6. Step 6: Final answer
    x = 249,292.18

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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.