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Finding the Fourth Proportional to 282,019.88, 422,819.43 and 169,673.78

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Solution

The fourth proportional to 282,019.88, 422,819.43 and 169,673.78 is: 254,384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,019.88 : 422,819.43 = 169,673.78 : x
  2. Step 2: Convert to fraction form
    282,019.88/422,819.43 = 169,673.78/x
  3. Step 3: Cross multiply
    282,019.88x = 422,819.43 × 169,673.78
  4. Step 4: Simplify right side
    282,019.88x = 71,741,368,831.45
  5. Step 5: Solve for x
    x = 71,741,368,831.45/282,019.88
  6. Step 6: Final answer
    x = 254,384.08

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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.