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Finding the Fourth Proportional to 398,861.20, 598,291.80 and 383,114.80

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Solution

The fourth proportional to 398,861.20, 598,291.80 and 383,114.80 is: 574,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,861.20 : 598,291.80 = 383,114.80 : x
  2. Step 2: Convert to fraction form
    398,861.20/598,291.80 = 383,114.80/x
  3. Step 3: Cross multiply
    398,861.20x = 598,291.80 × 383,114.80
  4. Step 4: Simplify right side
    398,861.20x = 229,214,443,298.64
  5. Step 5: Solve for x
    x = 229,214,443,298.64/398,861.20
  6. Step 6: Final answer
    x = 574,672.20

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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.