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Finding the Fourth Proportional to 398,752, 550,310.49 and 226,723.95

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Solution

The fourth proportional to 398,752, 550,310.49 and 226,723.95 is: 312,897.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,752 : 550,310.49 = 226,723.95 : x
  2. Step 2: Convert to fraction form
    398,752/550,310.49 = 226,723.95/x
  3. Step 3: Cross multiply
    398,752x = 550,310.49 × 226,723.95
  4. Step 4: Simplify right side
    398,752x = 124,768,568,019.24
  5. Step 5: Solve for x
    x = 124,768,568,019.24/398,752
  6. Step 6: Final answer
    x = 312,897.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.