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Finding the Fourth Proportional to 458,427.40, 687,641.10 and 261,819.40

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Solution

The fourth proportional to 458,427.40, 687,641.10 and 261,819.40 is: 392,729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,427.40 : 687,641.10 = 261,819.40 : x
  2. Step 2: Convert to fraction form
    458,427.40/687,641.10 = 261,819.40/x
  3. Step 3: Cross multiply
    458,427.40x = 687,641.10 × 261,819.40
  4. Step 4: Simplify right side
    458,427.40x = 180,037,780,217.34
  5. Step 5: Solve for x
    x = 180,037,780,217.34/458,427.40
  6. Step 6: Final answer
    x = 392,729.10

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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.