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Finding the Fourth Proportional to 398,913.60, 598,399.20 and 132,859.20

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Solution

The fourth proportional to 398,913.60, 598,399.20 and 132,859.20 is: 199,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,913.60 : 598,399.20 = 132,859.20 : x
  2. Step 2: Convert to fraction form
    398,913.60/598,399.20 = 132,859.20/x
  3. Step 3: Cross multiply
    398,913.60x = 598,399.20 × 132,859.20
  4. Step 4: Simplify right side
    398,913.60x = 79,502,838,992.64
  5. Step 5: Solve for x
    x = 79,502,838,992.64/398,913.60
  6. Step 6: Final answer
    x = 199,298.39

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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.