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Finding the Fourth Proportional to 819,255, 1,229,089.86 and 228,279

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Solution

The fourth proportional to 819,255, 1,229,089.86 and 228,279 is: 342,476.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,255 : 1,229,089.86 = 228,279 : x
  2. Step 2: Convert to fraction form
    819,255/1,229,089.86 = 228,279/x
  3. Step 3: Cross multiply
    819,255x = 1,229,089.86 × 228,279
  4. Step 4: Simplify right side
    819,255x = 280,575,404,150.94
  5. Step 5: Solve for x
    x = 280,575,404,150.94/819,255
  6. Step 6: Final answer
    x = 342,476.28

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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.