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Finding the Fourth Proportional to 320,412.84, 442,361.59 and 199,717.61

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Solution

The fourth proportional to 320,412.84, 442,361.59 and 199,717.61 is: 275,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,412.84 : 442,361.59 = 199,717.61 : x
  2. Step 2: Convert to fraction form
    320,412.84/442,361.59 = 199,717.61/x
  3. Step 3: Cross multiply
    320,412.84x = 442,361.59 × 199,717.61
  4. Step 4: Simplify right side
    320,412.84x = 88,347,398,088.91
  5. Step 5: Solve for x
    x = 88,347,398,088.91/320,412.84
  6. Step 6: Final answer
    x = 275,729.89

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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.