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Finding the Fourth Proportional to 276,047.60, 414,071.40 and 231,432.80

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Solution

The fourth proportional to 276,047.60, 414,071.40 and 231,432.80 is: 347,149.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,047.60 : 414,071.40 = 231,432.80 : x
  2. Step 2: Convert to fraction form
    276,047.60/414,071.40 = 231,432.80/x
  3. Step 3: Cross multiply
    276,047.60x = 414,071.40 × 231,432.80
  4. Step 4: Simplify right side
    276,047.60x = 95,829,703,501.92
  5. Step 5: Solve for x
    x = 95,829,703,501.92/276,047.60
  6. Step 6: Final answer
    x = 347,149.20

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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.