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Finding the Fourth Proportional to 287,170.49, 430,825.10 and 90,178.49

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Solution

The fourth proportional to 287,170.49, 430,825.10 and 90,178.49 is: 135,289.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,170.49 : 430,825.10 = 90,178.49 : x
  2. Step 2: Convert to fraction form
    287,170.49/430,825.10 = 90,178.49/x
  3. Step 3: Cross multiply
    287,170.49x = 430,825.10 × 90,178.49
  4. Step 4: Simplify right side
    287,170.49x = 38,851,156,972.10
  5. Step 5: Solve for x
    x = 38,851,156,972.10/287,170.49
  6. Step 6: Final answer
    x = 135,289.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.