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Finding the Fourth Proportional to 206,440.80, 284,891.40 and 115,816.80

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Solution

The fourth proportional to 206,440.80, 284,891.40 and 115,816.80 is: 159,828.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,440.80 : 284,891.40 = 115,816.80 : x
  2. Step 2: Convert to fraction form
    206,440.80/284,891.40 = 115,816.80/x
  3. Step 3: Cross multiply
    206,440.80x = 284,891.40 × 115,816.80
  4. Step 4: Simplify right side
    206,440.80x = 32,995,210,295.52
  5. Step 5: Solve for x
    x = 32,995,210,295.52/206,440.80
  6. Step 6: Final answer
    x = 159,828.92

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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.