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Finding the Fourth Proportional to 458,599.32, 687,374.10 and 177,876

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Solution

The fourth proportional to 458,599.32, 687,374.10 and 177,876 is: 266,610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,599.32 : 687,374.10 = 177,876 : x
  2. Step 2: Convert to fraction form
    458,599.32/687,374.10 = 177,876/x
  3. Step 3: Cross multiply
    458,599.32x = 687,374.10 × 177,876
  4. Step 4: Simplify right side
    458,599.32x = 122,267,355,411.60
  5. Step 5: Solve for x
    x = 122,267,355,411.60/458,599.32
  6. Step 6: Final answer
    x = 266,610.42

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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.