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Finding the Fourth Proportional to 273,458.60, 409,531.80 and 133,053.20

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Solution

The fourth proportional to 273,458.60, 409,531.80 and 133,053.20 is: 199,260.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,458.60 : 409,531.80 = 133,053.20 : x
  2. Step 2: Convert to fraction form
    273,458.60/409,531.80 = 133,053.20/x
  3. Step 3: Cross multiply
    273,458.60x = 409,531.80 × 133,053.20
  4. Step 4: Simplify right side
    273,458.60x = 54,489,516,491.76
  5. Step 5: Solve for x
    x = 54,489,516,491.76/273,458.60
  6. Step 6: Final answer
    x = 199,260.57

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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.