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Finding the Fourth Proportional to 298,853.81, 412,418.40 and 169,792.50

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Solution

The fourth proportional to 298,853.81, 412,418.40 and 169,792.50 is: 234,313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,853.81 : 412,418.40 = 169,792.50 : x
  2. Step 2: Convert to fraction form
    298,853.81/412,418.40 = 169,792.50/x
  3. Step 3: Cross multiply
    298,853.81x = 412,418.40 × 169,792.50
  4. Step 4: Simplify right side
    298,853.81x = 70,025,551,182
  5. Step 5: Solve for x
    x = 70,025,551,182/298,853.81
  6. Step 6: Final answer
    x = 234,313.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.