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Finding the Fourth Proportional to 276,978.38, 415,523.46 and 87,468.34

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Solution

The fourth proportional to 276,978.38, 415,523.46 and 87,468.34 is: 131,220.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,978.38 : 415,523.46 = 87,468.34 : x
  2. Step 2: Convert to fraction form
    276,978.38/415,523.46 = 87,468.34/x
  3. Step 3: Cross multiply
    276,978.38x = 415,523.46 × 87,468.34
  4. Step 4: Simplify right side
    276,978.38x = 36,345,147,277.26
  5. Step 5: Solve for x
    x = 36,345,147,277.26/276,978.38
  6. Step 6: Final answer
    x = 131,220.16

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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.