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Finding the Fourth Proportional to 290,251.14, 435,264.87 and 112,734.78

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Solution

The fourth proportional to 290,251.14, 435,264.87 and 112,734.78 is: 169,058.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,251.14 : 435,264.87 = 112,734.78 : x
  2. Step 2: Convert to fraction form
    290,251.14/435,264.87 = 112,734.78/x
  3. Step 3: Cross multiply
    290,251.14x = 435,264.87 × 112,734.78
  4. Step 4: Simplify right side
    290,251.14x = 49,069,489,361.18
  5. Step 5: Solve for x
    x = 49,069,489,361.18/290,251.14
  6. Step 6: Final answer
    x = 169,058.73

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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.