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Finding the Fourth Proportional to 398,464.40, 598,036.80 and 161,976.80

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Solution

The fourth proportional to 398,464.40, 598,036.80 and 161,976.80 is: 243,103.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,464.40 : 598,036.80 = 161,976.80 : x
  2. Step 2: Convert to fraction form
    398,464.40/598,036.80 = 161,976.80/x
  3. Step 3: Cross multiply
    398,464.40x = 598,036.80 × 161,976.80
  4. Step 4: Simplify right side
    398,464.40x = 96,868,087,146.24
  5. Step 5: Solve for x
    x = 96,868,087,146.24/398,464.40
  6. Step 6: Final answer
    x = 243,103.49

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1.5x scale

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.