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Finding the Fourth Proportional to 398,441.20, 597,988.20 and 395,330.80

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Solution

The fourth proportional to 398,441.20, 597,988.20 and 395,330.80 is: 593,320.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,441.20 : 597,988.20 = 395,330.80 : x
  2. Step 2: Convert to fraction form
    398,441.20/597,988.20 = 395,330.80/x
  3. Step 3: Cross multiply
    398,441.20x = 597,988.20 × 395,330.80
  4. Step 4: Simplify right side
    398,441.20x = 236,403,153,496.56
  5. Step 5: Solve for x
    x = 236,403,153,496.56/398,441.20
  6. Step 6: Final answer
    x = 593,320.05

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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.