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Finding the Fourth Proportional to 543,009.50, 749,341.64 and 301,286.88

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Solution

The fourth proportional to 543,009.50, 749,341.64 and 301,286.88 is: 415,769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,009.50 : 749,341.64 = 301,286.88 : x
  2. Step 2: Convert to fraction form
    543,009.50/749,341.64 = 301,286.88/x
  3. Step 3: Cross multiply
    543,009.50x = 749,341.64 × 301,286.88
  4. Step 4: Simplify right side
    543,009.50x = 225,766,804,769.68
  5. Step 5: Solve for x
    x = 225,766,804,769.68/543,009.50
  6. Step 6: Final answer
    x = 415,769.53

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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.