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Finding the Fourth Proportional to 276,438.18, 414,652.41 and 89,449.86

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Solution

The fourth proportional to 276,438.18, 414,652.41 and 89,449.86 is: 134,173.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,438.18 : 414,652.41 = 89,449.86 : x
  2. Step 2: Convert to fraction form
    276,438.18/414,652.41 = 89,449.86/x
  3. Step 3: Cross multiply
    276,438.18x = 414,652.41 × 89,449.86
  4. Step 4: Simplify right side
    276,438.18x = 37,090,600,023.16
  5. Step 5: Solve for x
    x = 37,090,600,023.16/276,438.18
  6. Step 6: Final answer
    x = 134,173.22

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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.