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Finding the Fourth Proportional to 290,296.92, 435,472.92 and 112,817.64

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Solution

The fourth proportional to 290,296.92, 435,472.92 and 112,817.64 is: 169,237.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,296.92 : 435,472.92 = 112,817.64 : x
  2. Step 2: Convert to fraction form
    290,296.92/435,472.92 = 112,817.64/x
  3. Step 3: Cross multiply
    290,296.92x = 435,472.92 × 112,817.64
  4. Step 4: Simplify right side
    290,296.92x = 49,129,027,118.31
  5. Step 5: Solve for x
    x = 49,129,027,118.31/290,296.92
  6. Step 6: Final answer
    x = 169,237.16

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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.