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Finding the Fourth Proportional to 281,091.61, 420,961.75 and 160,783.80

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Solution

The fourth proportional to 281,091.61, 420,961.75 and 160,783.80 is: 240,789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,091.61 : 420,961.75 = 160,783.80 : x
  2. Step 2: Convert to fraction form
    281,091.61/420,961.75 = 160,783.80/x
  3. Step 3: Cross multiply
    281,091.61x = 420,961.75 × 160,783.80
  4. Step 4: Simplify right side
    281,091.61x = 67,683,829,819.65
  5. Step 5: Solve for x
    x = 67,683,829,819.65/281,091.61
  6. Step 6: Final answer
    x = 240,789.22

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1.5x scale

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.