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Finding the Fourth Proportional to 281,678.96, 422,519.40 and 71,316.80

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Solution

The fourth proportional to 281,678.96, 422,519.40 and 71,316.80 is: 106,975.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,678.96 : 422,519.40 = 71,316.80 : x
  2. Step 2: Convert to fraction form
    281,678.96/422,519.40 = 71,316.80/x
  3. Step 3: Cross multiply
    281,678.96x = 422,519.40 × 71,316.80
  4. Step 4: Simplify right side
    281,678.96x = 30,132,731,545.92
  5. Step 5: Solve for x
    x = 30,132,731,545.92/281,678.96
  6. Step 6: Final answer
    x = 106,975.44

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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.