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Finding the Fourth Proportional to 287,538.80, 431,437.80 and 137,721.20

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Solution

The fourth proportional to 287,538.80, 431,437.80 and 137,721.20 is: 206,643.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,538.80 : 431,437.80 = 137,721.20 : x
  2. Step 2: Convert to fraction form
    287,538.80/431,437.80 = 137,721.20/x
  3. Step 3: Cross multiply
    287,538.80x = 431,437.80 × 137,721.20
  4. Step 4: Simplify right side
    287,538.80x = 59,418,131,541.36
  5. Step 5: Solve for x
    x = 59,418,131,541.36/287,538.80
  6. Step 6: Final answer
    x = 206,643.87

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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.