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Finding the Fourth Proportional to 398,650.68, 597,662.08 and 198,868.24

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Solution

The fourth proportional to 398,650.68, 597,662.08 and 198,868.24 is: 298,145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,650.68 : 597,662.08 = 198,868.24 : x
  2. Step 2: Convert to fraction form
    398,650.68/597,662.08 = 198,868.24/x
  3. Step 3: Cross multiply
    398,650.68x = 597,662.08 × 198,868.24
  4. Step 4: Simplify right side
    398,650.68x = 118,856,005,964.34
  5. Step 5: Solve for x
    x = 118,856,005,964.34/398,650.68
  6. Step 6: Final answer
    x = 298,145.75

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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.