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Finding the Fourth Proportional to 394,216.72, 591,746.12 and 169,688.40

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Solution

The fourth proportional to 394,216.72, 591,746.12 and 169,688.40 is: 254,713.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,216.72 : 591,746.12 = 169,688.40 : x
  2. Step 2: Convert to fraction form
    394,216.72/591,746.12 = 169,688.40/x
  3. Step 3: Cross multiply
    394,216.72x = 591,746.12 × 169,688.40
  4. Step 4: Simplify right side
    394,216.72x = 100,412,452,309.01
  5. Step 5: Solve for x
    x = 100,412,452,309.01/394,216.72
  6. Step 6: Final answer
    x = 254,713.83

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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.