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Finding the Fourth Proportional to 978,086.10, 1,467,129.15 and 417,177.30

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Solution

The fourth proportional to 978,086.10, 1,467,129.15 and 417,177.30 is: 625,765.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,086.10 : 1,467,129.15 = 417,177.30 : x
  2. Step 2: Convert to fraction form
    978,086.10/1,467,129.15 = 417,177.30/x
  3. Step 3: Cross multiply
    978,086.10x = 1,467,129.15 × 417,177.30
  4. Step 4: Simplify right side
    978,086.10x = 612,052,977,548.30
  5. Step 5: Solve for x
    x = 612,052,977,548.30/978,086.10
  6. Step 6: Final answer
    x = 625,765.95

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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.