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Finding the Fourth Proportional to 501,806.56, 752,920.32 and 312,425.44

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Solution

The fourth proportional to 501,806.56, 752,920.32 and 312,425.44 is: 468,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,806.56 : 752,920.32 = 312,425.44 : x
  2. Step 2: Convert to fraction form
    501,806.56/752,920.32 = 312,425.44/x
  3. Step 3: Cross multiply
    501,806.56x = 752,920.32 × 312,425.44
  4. Step 4: Simplify right side
    501,806.56x = 235,231,462,260.94
  5. Step 5: Solve for x
    x = 235,231,462,260.94/501,806.56
  6. Step 6: Final answer
    x = 468,769.21

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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.