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Finding the Fourth Proportional to 285,920, 394,569.92 and 166,711.04

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Solution

The fourth proportional to 285,920, 394,569.92 and 166,711.04 is: 230,061.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,920 : 394,569.92 = 166,711.04 : x
  2. Step 2: Convert to fraction form
    285,920/394,569.92 = 166,711.04/x
  3. Step 3: Cross multiply
    285,920x = 394,569.92 × 166,711.04
  4. Step 4: Simplify right side
    285,920x = 65,779,161,715.92
  5. Step 5: Solve for x
    x = 65,779,161,715.92/285,920
  6. Step 6: Final answer
    x = 230,061.42

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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.