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Finding the Fourth Proportional to 398,771.96, 598,157.88 and 118,286.78

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Solution

The fourth proportional to 398,771.96, 598,157.88 and 118,286.78 is: 177,430.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,771.96 : 598,157.88 = 118,286.78 : x
  2. Step 2: Convert to fraction form
    398,771.96/598,157.88 = 118,286.78/x
  3. Step 3: Cross multiply
    398,771.96x = 598,157.88 × 118,286.78
  4. Step 4: Simplify right side
    398,771.96x = 70,754,169,556.83
  5. Step 5: Solve for x
    x = 70,754,169,556.83/398,771.96
  6. Step 6: Final answer
    x = 177,430.15

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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.