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Finding the Fourth Proportional to 582,147.60, 871,471.80 and 345,368.40

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Solution

The fourth proportional to 582,147.60, 871,471.80 and 345,368.40 is: 517,014.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,147.60 : 871,471.80 = 345,368.40 : x
  2. Step 2: Convert to fraction form
    582,147.60/871,471.80 = 345,368.40/x
  3. Step 3: Cross multiply
    582,147.60x = 871,471.80 × 345,368.40
  4. Step 4: Simplify right side
    582,147.60x = 300,978,821,211.12
  5. Step 5: Solve for x
    x = 300,978,821,211.12/582,147.60
  6. Step 6: Final answer
    x = 517,014.62

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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.