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Finding the Fourth Proportional to 281,144.40, 387,986.13 and 160,297.13

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Solution

The fourth proportional to 281,144.40, 387,986.13 and 160,297.13 is: 221,213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,144.40 : 387,986.13 = 160,297.13 : x
  2. Step 2: Convert to fraction form
    281,144.40/387,986.13 = 160,297.13/x
  3. Step 3: Cross multiply
    281,144.40x = 387,986.13 × 160,297.13
  4. Step 4: Simplify right side
    281,144.40x = 62,193,061,178.88
  5. Step 5: Solve for x
    x = 62,193,061,178.88/281,144.40
  6. Step 6: Final answer
    x = 221,213.94

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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.