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Finding the Fourth Proportional to 333,781.92, 500,672.78 and 221,681

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Solution

The fourth proportional to 333,781.92, 500,672.78 and 221,681 is: 332,521.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,781.92 : 500,672.78 = 221,681 : x
  2. Step 2: Convert to fraction form
    333,781.92/500,672.78 = 221,681/x
  3. Step 3: Cross multiply
    333,781.92x = 500,672.78 × 221,681
  4. Step 4: Simplify right side
    333,781.92x = 110,989,642,543.18
  5. Step 5: Solve for x
    x = 110,989,642,543.18/333,781.92
  6. Step 6: Final answer
    x = 332,521.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.