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Finding the Fourth Proportional to 287,711.80, 431,697.30 and 137,894.20

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Solution

The fourth proportional to 287,711.80, 431,697.30 and 137,894.20 is: 206,903.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,711.80 : 431,697.30 = 137,894.20 : x
  2. Step 2: Convert to fraction form
    287,711.80/431,697.30 = 137,894.20/x
  3. Step 3: Cross multiply
    287,711.80x = 431,697.30 × 137,894.20
  4. Step 4: Simplify right side
    287,711.80x = 59,528,553,825.66
  5. Step 5: Solve for x
    x = 59,528,553,825.66/287,711.80
  6. Step 6: Final answer
    x = 206,903.41

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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.