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Finding the Fourth Proportional to 450,310.74, 676,238.86 and 399,823.86

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Solution

The fourth proportional to 450,310.74, 676,238.86 and 399,823.86 is: 600,421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,310.74 : 676,238.86 = 399,823.86 : x
  2. Step 2: Convert to fraction form
    450,310.74/676,238.86 = 399,823.86/x
  3. Step 3: Cross multiply
    450,310.74x = 676,238.86 × 399,823.86
  4. Step 4: Simplify right side
    450,310.74x = 270,376,431,287.20
  5. Step 5: Solve for x
    x = 270,376,431,287.20/450,310.74
  6. Step 6: Final answer
    x = 600,421.90

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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.