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Finding the Fourth Proportional to 469,147.78, 647,408.19 and 278,047.72

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Solution

The fourth proportional to 469,147.78, 647,408.19 and 278,047.72 is: 383,696.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,147.78 : 647,408.19 = 278,047.72 : x
  2. Step 2: Convert to fraction form
    469,147.78/647,408.19 = 278,047.72/x
  3. Step 3: Cross multiply
    469,147.78x = 647,408.19 × 278,047.72
  4. Step 4: Simplify right side
    469,147.78x = 180,010,371,138.83
  5. Step 5: Solve for x
    x = 180,010,371,138.83/469,147.78
  6. Step 6: Final answer
    x = 383,696.52

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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.