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Finding the Fourth Proportional to 421,781.44, 582,041.04 and 252,109.12

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Solution

The fourth proportional to 421,781.44, 582,041.04 and 252,109.12 is: 347,900.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,781.44 : 582,041.04 = 252,109.12 : x
  2. Step 2: Convert to fraction form
    421,781.44/582,041.04 = 252,109.12/x
  3. Step 3: Cross multiply
    421,781.44x = 582,041.04 × 252,109.12
  4. Step 4: Simplify right side
    421,781.44x = 146,737,854,398.29
  5. Step 5: Solve for x
    x = 146,737,854,398.29/421,781.44
  6. Step 6: Final answer
    x = 347,900.22

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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.