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Finding the Fourth Proportional to 471,721.73, 650,889.45 and 278,190.14

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Solution

The fourth proportional to 471,721.73, 650,889.45 and 278,190.14 is: 383,851.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,721.73 : 650,889.45 = 278,190.14 : x
  2. Step 2: Convert to fraction form
    471,721.73/650,889.45 = 278,190.14/x
  3. Step 3: Cross multiply
    471,721.73x = 650,889.45 × 278,190.14
  4. Step 4: Simplify right side
    471,721.73x = 181,071,023,965.58
  5. Step 5: Solve for x
    x = 181,071,023,965.58/471,721.73
  6. Step 6: Final answer
    x = 383,851.36

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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.