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Finding the Fourth Proportional to 281,088.30, 420,956.88 and 160,780.56

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Solution

The fourth proportional to 281,088.30, 420,956.88 and 160,780.56 is: 240,784.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,088.30 : 420,956.88 = 160,780.56 : x
  2. Step 2: Convert to fraction form
    281,088.30/420,956.88 = 160,780.56/x
  3. Step 3: Cross multiply
    281,088.30x = 420,956.88 × 160,780.56
  4. Step 4: Simplify right side
    281,088.30x = 67,681,682,902.25
  5. Step 5: Solve for x
    x = 67,681,682,902.25/281,088.30
  6. Step 6: Final answer
    x = 240,784.42

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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.