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Finding the Fourth Proportional to 290,769.92, 435,627.52 and 133,130.24

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Solution

The fourth proportional to 290,769.92, 435,627.52 and 133,130.24 is: 199,453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,769.92 : 435,627.52 = 133,130.24 : x
  2. Step 2: Convert to fraction form
    290,769.92/435,627.52 = 133,130.24/x
  3. Step 3: Cross multiply
    290,769.92x = 435,627.52 × 133,130.24
  4. Step 4: Simplify right side
    290,769.92x = 57,995,196,288.20
  5. Step 5: Solve for x
    x = 57,995,196,288.20/290,769.92
  6. Step 6: Final answer
    x = 199,453.91

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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.