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Finding the Fourth Proportional to 458,438.40, 687,654.36 and 322,944.84

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Solution

The fourth proportional to 458,438.40, 687,654.36 and 322,944.84 is: 484,414.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,438.40 : 687,654.36 = 322,944.84 : x
  2. Step 2: Convert to fraction form
    458,438.40/687,654.36 = 322,944.84/x
  3. Step 3: Cross multiply
    458,438.40x = 687,654.36 × 322,944.84
  4. Step 4: Simplify right side
    458,438.40x = 222,074,427,265.50
  5. Step 5: Solve for x
    x = 222,074,427,265.50/458,438.40
  6. Step 6: Final answer
    x = 484,414.98

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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.