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Finding the Fourth Proportional to 287,708.80, 431,692.80 and 137,891.20

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Solution

The fourth proportional to 287,708.80, 431,692.80 and 137,891.20 is: 206,898.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,708.80 : 431,692.80 = 137,891.20 : x
  2. Step 2: Convert to fraction form
    287,708.80/431,692.80 = 137,891.20/x
  3. Step 3: Cross multiply
    287,708.80x = 431,692.80 × 137,891.20
  4. Step 4: Simplify right side
    287,708.80x = 59,526,638,223.36
  5. Step 5: Solve for x
    x = 59,526,638,223.36/287,708.80
  6. Step 6: Final answer
    x = 206,898.91

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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.