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Finding the Fourth Proportional to 542,834.79, 749,034.42 and 324,991.26

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Solution

The fourth proportional to 542,834.79, 749,034.42 and 324,991.26 is: 448,441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,834.79 : 749,034.42 = 324,991.26 : x
  2. Step 2: Convert to fraction form
    542,834.79/749,034.42 = 324,991.26/x
  3. Step 3: Cross multiply
    542,834.79x = 749,034.42 × 324,991.26
  4. Step 4: Simplify right side
    542,834.79x = 243,429,642,257.65
  5. Step 5: Solve for x
    x = 243,429,642,257.65/542,834.79
  6. Step 6: Final answer
    x = 448,441.49

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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.