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Finding the Fourth Proportional to 281,125.44, 387,722.16 and 200,527.20

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Solution

The fourth proportional to 281,125.44, 387,722.16 and 200,527.20 is: 276,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,125.44 : 387,722.16 = 200,527.20 : x
  2. Step 2: Convert to fraction form
    281,125.44/387,722.16 = 200,527.20/x
  3. Step 3: Cross multiply
    281,125.44x = 387,722.16 × 200,527.20
  4. Step 4: Simplify right side
    281,125.44x = 77,748,839,122.75
  5. Step 5: Solve for x
    x = 77,748,839,122.75/281,125.44
  6. Step 6: Final answer
    x = 276,562.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.