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Finding the Fourth Proportional to 206,876.40, 310,606.20 and 128,144.40

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Solution

The fourth proportional to 206,876.40, 310,606.20 and 128,144.40 is: 192,397.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,876.40 : 310,606.20 = 128,144.40 : x
  2. Step 2: Convert to fraction form
    206,876.40/310,606.20 = 128,144.40/x
  3. Step 3: Cross multiply
    206,876.40x = 310,606.20 × 128,144.40
  4. Step 4: Simplify right side
    206,876.40x = 39,802,445,135.28
  5. Step 5: Solve for x
    x = 39,802,445,135.28/206,876.40
  6. Step 6: Final answer
    x = 192,397.22

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1.5x scale

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.