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Finding the Fourth Proportional to 287,713.80, 431,700.30 and 137,896.20

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Solution

The fourth proportional to 287,713.80, 431,700.30 and 137,896.20 is: 206,906.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,713.80 : 431,700.30 = 137,896.20 : x
  2. Step 2: Convert to fraction form
    287,713.80/431,700.30 = 137,896.20/x
  3. Step 3: Cross multiply
    287,713.80x = 431,700.30 × 137,896.20
  4. Step 4: Simplify right side
    287,713.80x = 59,529,830,908.86
  5. Step 5: Solve for x
    x = 59,529,830,908.86/287,713.80
  6. Step 6: Final answer
    x = 206,906.42

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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.