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Finding the Fourth Proportional to 398,647.60, 597,766.20 and 118,128.40

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Solution

The fourth proportional to 398,647.60, 597,766.20 and 118,128.40 is: 177,131.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,647.60 : 597,766.20 = 118,128.40 : x
  2. Step 2: Convert to fraction form
    398,647.60/597,766.20 = 118,128.40/x
  3. Step 3: Cross multiply
    398,647.60x = 597,766.20 × 118,128.40
  4. Step 4: Simplify right side
    398,647.60x = 70,613,164,780.08
  5. Step 5: Solve for x
    x = 70,613,164,780.08/398,647.60
  6. Step 6: Final answer
    x = 177,131.79

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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.