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Finding the Fourth Proportional to 582,380.40, 873,694.80 and 329,779.20

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Solution

The fourth proportional to 582,380.40, 873,694.80 and 329,779.20 is: 494,739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,380.40 : 873,694.80 = 329,779.20 : x
  2. Step 2: Convert to fraction form
    582,380.40/873,694.80 = 329,779.20/x
  3. Step 3: Cross multiply
    582,380.40x = 873,694.80 × 329,779.20
  4. Step 4: Simplify right side
    582,380.40x = 288,126,372,188.16
  5. Step 5: Solve for x
    x = 288,126,372,188.16/582,380.40
  6. Step 6: Final answer
    x = 494,739.13

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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.