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Finding the Fourth Proportional to 298,505.81, 447,817.81 and 85,275.56

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Solution

The fourth proportional to 298,505.81, 447,817.81 and 85,275.56 is: 127,930.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,505.81 : 447,817.81 = 85,275.56 : x
  2. Step 2: Convert to fraction form
    298,505.81/447,817.81 = 85,275.56/x
  3. Step 3: Cross multiply
    298,505.81x = 447,817.81 × 85,275.56
  4. Step 4: Simplify right side
    298,505.81x = 38,187,915,432.08
  5. Step 5: Solve for x
    x = 38,187,915,432.08/298,505.81
  6. Step 6: Final answer
    x = 127,930.22

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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.