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Finding the Fourth Proportional to 409,895.32, 614,930.46 and 143,672.08

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Solution

The fourth proportional to 409,895.32, 614,930.46 and 143,672.08 is: 215,538.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,895.32 : 614,930.46 = 143,672.08 : x
  2. Step 2: Convert to fraction form
    409,895.32/614,930.46 = 143,672.08/x
  3. Step 3: Cross multiply
    409,895.32x = 614,930.46 × 143,672.08
  4. Step 4: Simplify right side
    409,895.32x = 88,348,338,243.56
  5. Step 5: Solve for x
    x = 88,348,338,243.56/409,895.32
  6. Step 6: Final answer
    x = 215,538.78

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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.