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Finding the Fourth Proportional to 287,529.80, 431,424.30 and 137,712.20

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Solution

The fourth proportional to 287,529.80, 431,424.30 and 137,712.20 is: 206,630.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,529.80 : 431,424.30 = 137,712.20 : x
  2. Step 2: Convert to fraction form
    287,529.80/431,424.30 = 137,712.20/x
  3. Step 3: Cross multiply
    287,529.80x = 431,424.30 × 137,712.20
  4. Step 4: Simplify right side
    287,529.80x = 59,412,389,486.46
  5. Step 5: Solve for x
    x = 59,412,389,486.46/287,529.80
  6. Step 6: Final answer
    x = 206,630.37

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1.5x scale

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.