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Finding the Fourth Proportional to 409,562.52, 614,223.36 and 143,273.40

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Solution

The fourth proportional to 409,562.52, 614,223.36 and 143,273.40 is: 214,867.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,562.52 : 614,223.36 = 143,273.40 : x
  2. Step 2: Convert to fraction form
    409,562.52/614,223.36 = 143,273.40/x
  3. Step 3: Cross multiply
    409,562.52x = 614,223.36 × 143,273.40
  4. Step 4: Simplify right side
    409,562.52x = 88,001,869,146.62
  5. Step 5: Solve for x
    x = 88,001,869,146.62/409,562.52
  6. Step 6: Final answer
    x = 214,867.97

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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.