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Finding the Fourth Proportional to 502,644.30, 754,100.10 and 218,212.80

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Solution

The fourth proportional to 502,644.30, 754,100.10 and 218,212.80 is: 327,377.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,644.30 : 754,100.10 = 218,212.80 : x
  2. Step 2: Convert to fraction form
    502,644.30/754,100.10 = 218,212.80/x
  3. Step 3: Cross multiply
    502,644.30x = 754,100.10 × 218,212.80
  4. Step 4: Simplify right side
    502,644.30x = 164,554,294,301.28
  5. Step 5: Solve for x
    x = 164,554,294,301.28/502,644.30
  6. Step 6: Final answer
    x = 327,377.22

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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.