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Finding the Fourth Proportional to 394,023.78, 591,274.71 and 157,346.64

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Solution

The fourth proportional to 394,023.78, 591,274.71 and 157,346.64 is: 236,115.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,023.78 : 591,274.71 = 157,346.64 : x
  2. Step 2: Convert to fraction form
    394,023.78/591,274.71 = 157,346.64/x
  3. Step 3: Cross multiply
    394,023.78x = 591,274.71 × 157,346.64
  4. Step 4: Simplify right side
    394,023.78x = 93,035,088,935.47
  5. Step 5: Solve for x
    x = 93,035,088,935.47/394,023.78
  6. Step 6: Final answer
    x = 236,115.42

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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.