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Finding the Fourth Proportional to 286,144.16, 394,864.44 and 169,862.60

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Solution

The fourth proportional to 286,144.16, 394,864.44 and 169,862.60 is: 234,401.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,144.16 : 394,864.44 = 169,862.60 : x
  2. Step 2: Convert to fraction form
    286,144.16/394,864.44 = 169,862.60/x
  3. Step 3: Cross multiply
    286,144.16x = 394,864.44 × 169,862.60
  4. Step 4: Simplify right side
    286,144.16x = 67,072,701,376.42
  5. Step 5: Solve for x
    x = 67,072,701,376.42/286,144.16
  6. Step 6: Final answer
    x = 234,401.79

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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.