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Finding the Fourth Proportional to 394,343.52, 591,263.10 and 234,376.78

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Solution

The fourth proportional to 394,343.52, 591,263.10 and 234,376.78 is: 351,415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,343.52 : 591,263.10 = 234,376.78 : x
  2. Step 2: Convert to fraction form
    394,343.52/591,263.10 = 234,376.78/x
  3. Step 3: Cross multiply
    394,343.52x = 591,263.10 × 234,376.78
  4. Step 4: Simplify right side
    394,343.52x = 138,578,341,510.82
  5. Step 5: Solve for x
    x = 138,578,341,510.82/394,343.52
  6. Step 6: Final answer
    x = 351,415.29

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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.