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Finding the Fourth Proportional to 298,371.51, 447,571.98 and 85,170.74

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Solution

The fourth proportional to 298,371.51, 447,571.98 and 85,170.74 is: 127,760.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,371.51 : 447,571.98 = 85,170.74 : x
  2. Step 2: Convert to fraction form
    298,371.51/447,571.98 = 85,170.74/x
  3. Step 3: Cross multiply
    298,371.51x = 447,571.98 × 85,170.74
  4. Step 4: Simplify right side
    298,371.51x = 38,120,034,502.01
  5. Step 5: Solve for x
    x = 38,120,034,502.01/298,371.51
  6. Step 6: Final answer
    x = 127,760.30

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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.