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Finding the Fourth Proportional to 290,253.14, 435,267.87 and 112,736.78

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Solution

The fourth proportional to 290,253.14, 435,267.87 and 112,736.78 is: 169,061.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,253.14 : 435,267.87 = 112,736.78 : x
  2. Step 2: Convert to fraction form
    290,253.14/435,267.87 = 112,736.78/x
  3. Step 3: Cross multiply
    290,253.14x = 435,267.87 × 112,736.78
  4. Step 4: Simplify right side
    290,253.14x = 49,070,698,101.26
  5. Step 5: Solve for x
    x = 49,070,698,101.26/290,253.14
  6. Step 6: Final answer
    x = 169,061.73

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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.