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Finding the Fourth Proportional to 409,853.80, 614,780.70 and 143,586.55

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Solution

The fourth proportional to 409,853.80, 614,780.70 and 143,586.55 is: 215,379.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,853.80 : 614,780.70 = 143,586.55 : x
  2. Step 2: Convert to fraction form
    409,853.80/614,780.70 = 143,586.55/x
  3. Step 3: Cross multiply
    409,853.80x = 614,780.70 × 143,586.55
  4. Step 4: Simplify right side
    409,853.80x = 88,274,239,719.59
  5. Step 5: Solve for x
    x = 88,274,239,719.59/409,853.80
  6. Step 6: Final answer
    x = 215,379.83

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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.