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Finding the Fourth Proportional to 394,290.60, 590,561.10 and 157,511.40

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Solution

The fourth proportional to 394,290.60, 590,561.10 and 157,511.40 is: 235,917.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,290.60 : 590,561.10 = 157,511.40 : x
  2. Step 2: Convert to fraction form
    394,290.60/590,561.10 = 157,511.40/x
  3. Step 3: Cross multiply
    394,290.60x = 590,561.10 × 157,511.40
  4. Step 4: Simplify right side
    394,290.60x = 93,020,105,646.54
  5. Step 5: Solve for x
    x = 93,020,105,646.54/394,290.60
  6. Step 6: Final answer
    x = 235,917.63

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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.