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Finding the Fourth Proportional to 228,998.70, 343,498.05 and 158,139.90

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Solution

The fourth proportional to 228,998.70, 343,498.05 and 158,139.90 is: 237,209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,998.70 : 343,498.05 = 158,139.90 : x
  2. Step 2: Convert to fraction form
    228,998.70/343,498.05 = 158,139.90/x
  3. Step 3: Cross multiply
    228,998.70x = 343,498.05 × 158,139.90
  4. Step 4: Simplify right side
    228,998.70x = 54,320,747,277.20
  5. Step 5: Solve for x
    x = 54,320,747,277.20/228,998.70
  6. Step 6: Final answer
    x = 237,209.85

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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.