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Finding the Fourth Proportional to 409,843.80, 614,765.70 and 143,576.55

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Solution

The fourth proportional to 409,843.80, 614,765.70 and 143,576.55 is: 215,364.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,843.80 : 614,765.70 = 143,576.55 : x
  2. Step 2: Convert to fraction form
    409,843.80/614,765.70 = 143,576.55/x
  3. Step 3: Cross multiply
    409,843.80x = 614,765.70 × 143,576.55
  4. Step 4: Simplify right side
    409,843.80x = 88,265,938,264.34
  5. Step 5: Solve for x
    x = 88,265,938,264.34/409,843.80
  6. Step 6: Final answer
    x = 215,364.83

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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.