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Finding the Fourth Proportional to 421,934.04, 582,351.96 and 319,781.32

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Solution

The fourth proportional to 421,934.04, 582,351.96 and 319,781.32 is: 441,361.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,934.04 : 582,351.96 = 319,781.32 : x
  2. Step 2: Convert to fraction form
    421,934.04/582,351.96 = 319,781.32/x
  3. Step 3: Cross multiply
    421,934.04x = 582,351.96 × 319,781.32
  4. Step 4: Simplify right side
    421,934.04x = 186,225,278,473.39
  5. Step 5: Solve for x
    x = 186,225,278,473.39/421,934.04
  6. Step 6: Final answer
    x = 441,361.12

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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.