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Finding the Fourth Proportional to 471,610.26, 650,907.05 and 278,006.42

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Solution

The fourth proportional to 471,610.26, 650,907.05 and 278,006.42 is: 383,698.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,610.26 : 650,907.05 = 278,006.42 : x
  2. Step 2: Convert to fraction form
    471,610.26/650,907.05 = 278,006.42/x
  3. Step 3: Cross multiply
    471,610.26x = 650,907.05 × 278,006.42
  4. Step 4: Simplify right side
    471,610.26x = 180,956,338,960.50
  5. Step 5: Solve for x
    x = 180,956,338,960.50/471,610.26
  6. Step 6: Final answer
    x = 383,698.90

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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.