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Finding the Fourth Proportional to 399,097.70, 598,646.55 and 383,351.30

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Solution

The fourth proportional to 399,097.70, 598,646.55 and 383,351.30 is: 575,026.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,097.70 : 598,646.55 = 383,351.30 : x
  2. Step 2: Convert to fraction form
    399,097.70/598,646.55 = 383,351.30/x
  3. Step 3: Cross multiply
    399,097.70x = 598,646.55 × 383,351.30
  4. Step 4: Simplify right side
    399,097.70x = 229,491,933,183.02
  5. Step 5: Solve for x
    x = 229,491,933,183.02/399,097.70
  6. Step 6: Final answer
    x = 575,026.95

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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.