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Finding the Fourth Proportional to 287,712.80, 431,698.80 and 137,895.20

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Solution

The fourth proportional to 287,712.80, 431,698.80 and 137,895.20 is: 206,904.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,712.80 : 431,698.80 = 137,895.20 : x
  2. Step 2: Convert to fraction form
    287,712.80/431,698.80 = 137,895.20/x
  3. Step 3: Cross multiply
    287,712.80x = 431,698.80 × 137,895.20
  4. Step 4: Simplify right side
    287,712.80x = 59,529,192,365.76
  5. Step 5: Solve for x
    x = 59,529,192,365.76/287,712.80
  6. Step 6: Final answer
    x = 206,904.91

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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.