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Finding the Fourth Proportional to 273,442.60, 409,507.80 and 133,037.20

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Solution

The fourth proportional to 273,442.60, 409,507.80 and 133,037.20 is: 199,236.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,442.60 : 409,507.80 = 133,037.20 : x
  2. Step 2: Convert to fraction form
    273,442.60/409,507.80 = 133,037.20/x
  3. Step 3: Cross multiply
    273,442.60x = 409,507.80 × 133,037.20
  4. Step 4: Simplify right side
    273,442.60x = 54,479,771,090.16
  5. Step 5: Solve for x
    x = 54,479,771,090.16/273,442.60
  6. Step 6: Final answer
    x = 199,236.59

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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.