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Finding the Fourth Proportional to 582,123.60, 871,435.80 and 345,344.40

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Solution

The fourth proportional to 582,123.60, 871,435.80 and 345,344.40 is: 516,978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,123.60 : 871,435.80 = 345,344.40 : x
  2. Step 2: Convert to fraction form
    582,123.60/871,435.80 = 345,344.40/x
  3. Step 3: Cross multiply
    582,123.60x = 871,435.80 × 345,344.40
  4. Step 4: Simplify right side
    582,123.60x = 300,945,473,489.52
  5. Step 5: Solve for x
    x = 300,945,473,489.52/582,123.60
  6. Step 6: Final answer
    x = 516,978.65

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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.