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Finding the Fourth Proportional to 394,256.32, 591,388.80 and 113,776

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Solution

The fourth proportional to 394,256.32, 591,388.80 and 113,776 is: 170,665.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,256.32 : 591,388.80 = 113,776 : x
  2. Step 2: Convert to fraction form
    394,256.32/591,388.80 = 113,776/x
  3. Step 3: Cross multiply
    394,256.32x = 591,388.80 × 113,776
  4. Step 4: Simplify right side
    394,256.32x = 67,285,852,108.80
  5. Step 5: Solve for x
    x = 67,285,852,108.80/394,256.32
  6. Step 6: Final answer
    x = 170,665.25

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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.