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Finding the Fourth Proportional to 228,488.80, 342,792.34 and 133,799

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Solution

The fourth proportional to 228,488.80, 342,792.34 and 133,799 is: 200,733.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,488.80 : 342,792.34 = 133,799 : x
  2. Step 2: Convert to fraction form
    228,488.80/342,792.34 = 133,799/x
  3. Step 3: Cross multiply
    228,488.80x = 342,792.34 × 133,799
  4. Step 4: Simplify right side
    228,488.80x = 45,865,272,299.66
  5. Step 5: Solve for x
    x = 45,865,272,299.66/228,488.80
  6. Step 6: Final answer
    x = 200,733.13

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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.