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Finding the Fourth Proportional to 281,061.80, 420,717.90 and 162,380.60

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Solution

The fourth proportional to 281,061.80, 420,717.90 and 162,380.60 is: 243,065.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,061.80 : 420,717.90 = 162,380.60 : x
  2. Step 2: Convert to fraction form
    281,061.80/420,717.90 = 162,380.60/x
  3. Step 3: Cross multiply
    281,061.80x = 420,717.90 × 162,380.60
  4. Step 4: Simplify right side
    281,061.80x = 68,316,425,032.74
  5. Step 5: Solve for x
    x = 68,316,425,032.74/281,061.80
  6. Step 6: Final answer
    x = 243,065.49

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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.