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Finding the Fourth Proportional to 398,215.20, 597,322.80 and 148,864.80

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Solution

The fourth proportional to 398,215.20, 597,322.80 and 148,864.80 is: 223,297.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,215.20 : 597,322.80 = 148,864.80 : x
  2. Step 2: Convert to fraction form
    398,215.20/597,322.80 = 148,864.80/x
  3. Step 3: Cross multiply
    398,215.20x = 597,322.80 × 148,864.80
  4. Step 4: Simplify right side
    398,215.20x = 88,920,339,157.44
  5. Step 5: Solve for x
    x = 88,920,339,157.44/398,215.20
  6. Step 6: Final answer
    x = 223,297.20

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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.