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Finding the Fourth Proportional to 227,478.38, 313,920.16 and 126,876.38

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Solution

The fourth proportional to 227,478.38, 313,920.16 and 126,876.38 is: 175,089.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,478.38 : 313,920.16 = 126,876.38 : x
  2. Step 2: Convert to fraction form
    227,478.38/313,920.16 = 126,876.38/x
  3. Step 3: Cross multiply
    227,478.38x = 313,920.16 × 126,876.38
  4. Step 4: Simplify right side
    227,478.38x = 39,829,051,623.03
  5. Step 5: Solve for x
    x = 39,829,051,623.03/227,478.38
  6. Step 6: Final answer
    x = 175,089.40

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1.5x scale

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.