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Finding the Fourth Proportional to 394,657.94, 591,978.71 and 157,937.06

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Solution

The fourth proportional to 394,657.94, 591,978.71 and 157,937.06 is: 236,902.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,657.94 : 591,978.71 = 157,937.06 : x
  2. Step 2: Convert to fraction form
    394,657.94/591,978.71 = 157,937.06/x
  3. Step 3: Cross multiply
    394,657.94x = 591,978.71 × 157,937.06
  4. Step 4: Simplify right side
    394,657.94x = 93,495,378,914.78
  5. Step 5: Solve for x
    x = 93,495,378,914.78/394,657.94
  6. Step 6: Final answer
    x = 236,902.31

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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.