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Finding the Fourth Proportional to 458,408.52, 687,753.55 and 218,828.14

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Solution

The fourth proportional to 458,408.52, 687,753.55 and 218,828.14 is: 328,309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,408.52 : 687,753.55 = 218,828.14 : x
  2. Step 2: Convert to fraction form
    458,408.52/687,753.55 = 218,828.14/x
  3. Step 3: Cross multiply
    458,408.52x = 687,753.55 × 218,828.14
  4. Step 4: Simplify right side
    458,408.52x = 150,499,830,124.90
  5. Step 5: Solve for x
    x = 150,499,830,124.90/458,408.52
  6. Step 6: Final answer
    x = 328,309.41

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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.