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Finding the Fourth Proportional to 421,878.30, 582,162.84 and 240,597.90

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Solution

The fourth proportional to 421,878.30, 582,162.84 and 240,597.90 is: 332,008.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,878.30 : 582,162.84 = 240,597.90 : x
  2. Step 2: Convert to fraction form
    421,878.30/582,162.84 = 240,597.90/x
  3. Step 3: Cross multiply
    421,878.30x = 582,162.84 × 240,597.90
  4. Step 4: Simplify right side
    421,878.30x = 140,067,156,762.04
  5. Step 5: Solve for x
    x = 140,067,156,762.04/421,878.30
  6. Step 6: Final answer
    x = 332,008.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.