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Finding the Fourth Proportional to 458,406.28, 687,750.18 and 218,825.90

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Solution

The fourth proportional to 458,406.28, 687,750.18 and 218,825.90 is: 328,306.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,406.28 : 687,750.18 = 218,825.90 : x
  2. Step 2: Convert to fraction form
    458,406.28/687,750.18 = 218,825.90/x
  3. Step 3: Cross multiply
    458,406.28x = 687,750.18 × 218,825.90
  4. Step 4: Simplify right side
    458,406.28x = 150,497,552,113.66
  5. Step 5: Solve for x
    x = 150,497,552,113.66/458,406.28
  6. Step 6: Final answer
    x = 328,306.04

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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.