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Finding the Fourth Proportional to 398,550.42, 597,954.74 and 238,601.34

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Solution

The fourth proportional to 398,550.42, 597,954.74 and 238,601.34 is: 357,979.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,550.42 : 597,954.74 = 238,601.34 : x
  2. Step 2: Convert to fraction form
    398,550.42/597,954.74 = 238,601.34/x
  3. Step 3: Cross multiply
    398,550.42x = 597,954.74 × 238,601.34
  4. Step 4: Simplify right side
    398,550.42x = 142,672,801,030.35
  5. Step 5: Solve for x
    x = 142,672,801,030.35/398,550.42
  6. Step 6: Final answer
    x = 357,979.30

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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.