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Finding the Fourth Proportional to 276,435.20, 414,652.80 and 89,465.60

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Solution

The fourth proportional to 276,435.20, 414,652.80 and 89,465.60 is: 134,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,435.20 : 414,652.80 = 89,465.60 : x
  2. Step 2: Convert to fraction form
    276,435.20/414,652.80 = 89,465.60/x
  3. Step 3: Cross multiply
    276,435.20x = 414,652.80 × 89,465.60
  4. Step 4: Simplify right side
    276,435.20x = 37,097,161,543.68
  5. Step 5: Solve for x
    x = 37,097,161,543.68/276,435.20
  6. Step 6: Final answer
    x = 134,198.40

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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.