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Finding the Fourth Proportional to 503,212.90, 754,930.24 and 218,948.08

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Solution

The fourth proportional to 503,212.90, 754,930.24 and 218,948.08 is: 328,470.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,212.90 : 754,930.24 = 218,948.08 : x
  2. Step 2: Convert to fraction form
    503,212.90/754,930.24 = 218,948.08/x
  3. Step 3: Cross multiply
    503,212.90x = 754,930.24 × 218,948.08
  4. Step 4: Simplify right side
    503,212.90x = 165,290,526,581.94
  5. Step 5: Solve for x
    x = 165,290,526,581.94/503,212.90
  6. Step 6: Final answer
    x = 328,470.37

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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.