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Finding the Fourth Proportional to 343,469.68, 515,058.72 and 185,655.76

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Solution

The fourth proportional to 343,469.68, 515,058.72 and 185,655.76 is: 278,404.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,469.68 : 515,058.72 = 185,655.76 : x
  2. Step 2: Convert to fraction form
    343,469.68/515,058.72 = 185,655.76/x
  3. Step 3: Cross multiply
    343,469.68x = 515,058.72 × 185,655.76
  4. Step 4: Simplify right side
    343,469.68x = 95,623,618,106.23
  5. Step 5: Solve for x
    x = 95,623,618,106.23/343,469.68
  6. Step 6: Final answer
    x = 278,404.83

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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.