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Finding the Fourth Proportional to 276,115.60, 414,416.40 and 163,655.20

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Solution

The fourth proportional to 276,115.60, 414,416.40 and 163,655.20 is: 245,626.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,115.60 : 414,416.40 = 163,655.20 : x
  2. Step 2: Convert to fraction form
    276,115.60/414,416.40 = 163,655.20/x
  3. Step 3: Cross multiply
    276,115.60x = 414,416.40 × 163,655.20
  4. Step 4: Simplify right side
    276,115.60x = 67,821,398,825.28
  5. Step 5: Solve for x
    x = 67,821,398,825.28/276,115.60
  6. Step 6: Final answer
    x = 245,626.83

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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.