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Finding the Fourth Proportional to 398,648.60, 597,767.70 and 118,129.40

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Solution

The fourth proportional to 398,648.60, 597,767.70 and 118,129.40 is: 177,133.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,648.60 : 597,767.70 = 118,129.40 : x
  2. Step 2: Convert to fraction form
    398,648.60/597,767.70 = 118,129.40/x
  3. Step 3: Cross multiply
    398,648.60x = 597,767.70 × 118,129.40
  4. Step 4: Simplify right side
    398,648.60x = 70,613,939,740.38
  5. Step 5: Solve for x
    x = 70,613,939,740.38/398,648.60
  6. Step 6: Final answer
    x = 177,133.29

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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.