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Finding the Fourth Proportional to 582,114.60, 871,422.30 and 345,335.40

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Solution

The fourth proportional to 582,114.60, 871,422.30 and 345,335.40 is: 516,965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,114.60 : 871,422.30 = 345,335.40 : x
  2. Step 2: Convert to fraction form
    582,114.60/871,422.30 = 345,335.40/x
  3. Step 3: Cross multiply
    582,114.60x = 871,422.30 × 345,335.40
  4. Step 4: Simplify right side
    582,114.60x = 300,932,968,539.42
  5. Step 5: Solve for x
    x = 300,932,968,539.42/582,114.60
  6. Step 6: Final answer
    x = 516,965.16

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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.