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Finding the Fourth Proportional to 281,967.27, 389,114.06 and 161,146.05

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Solution

The fourth proportional to 281,967.27, 389,114.06 and 161,146.05 is: 222,381.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,967.27 : 389,114.06 = 161,146.05 : x
  2. Step 2: Convert to fraction form
    281,967.27/389,114.06 = 161,146.05/x
  3. Step 3: Cross multiply
    281,967.27x = 389,114.06 × 161,146.05
  4. Step 4: Simplify right side
    281,967.27x = 62,704,192,962.73
  5. Step 5: Solve for x
    x = 62,704,192,962.73/281,967.27
  6. Step 6: Final answer
    x = 222,381.10

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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.