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Finding the Fourth Proportional to 543,081.89, 749,392.18 and 301,374.65

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Solution

The fourth proportional to 543,081.89, 749,392.18 and 301,374.65 is: 415,863.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,081.89 : 749,392.18 = 301,374.65 : x
  2. Step 2: Convert to fraction form
    543,081.89/749,392.18 = 301,374.65/x
  3. Step 3: Cross multiply
    543,081.89x = 749,392.18 × 301,374.65
  4. Step 4: Simplify right side
    543,081.89x = 225,847,805,960.24
  5. Step 5: Solve for x
    x = 225,847,805,960.24/543,081.89
  6. Step 6: Final answer
    x = 415,863.26

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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.