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Finding the Fourth Proportional to 290,443.38, 435,691.98 and 112,963.74

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Solution

The fourth proportional to 290,443.38, 435,691.98 and 112,963.74 is: 169,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,443.38 : 435,691.98 = 112,963.74 : x
  2. Step 2: Convert to fraction form
    290,443.38/435,691.98 = 112,963.74/x
  3. Step 3: Cross multiply
    290,443.38x = 435,691.98 × 112,963.74
  4. Step 4: Simplify right side
    290,443.38x = 49,217,395,548.81
  5. Step 5: Solve for x
    x = 49,217,395,548.81/290,443.38
  6. Step 6: Final answer
    x = 169,456.08

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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.