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Finding the Fourth Proportional to 308,132.78, 425,184.16 and 180,761.90

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Solution

The fourth proportional to 308,132.78, 425,184.16 and 180,761.90 is: 249,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,132.78 : 425,184.16 = 180,761.90 : x
  2. Step 2: Convert to fraction form
    308,132.78/425,184.16 = 180,761.90/x
  3. Step 3: Cross multiply
    308,132.78x = 425,184.16 × 180,761.90
  4. Step 4: Simplify right side
    308,132.78x = 76,857,096,611.50
  5. Step 5: Solve for x
    x = 76,857,096,611.50/308,132.78
  6. Step 6: Final answer
    x = 249,428.50

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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.