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Finding the Fourth Proportional to 578,184.21, 866,906.34 and 278,067.06

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Solution

The fourth proportional to 578,184.21, 866,906.34 and 278,067.06 is: 416,922.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,184.21 : 866,906.34 = 278,067.06 : x
  2. Step 2: Convert to fraction form
    578,184.21/866,906.34 = 278,067.06/x
  3. Step 3: Cross multiply
    578,184.21x = 866,906.34 × 278,067.06
  4. Step 4: Simplify right side
    578,184.21x = 241,058,097,259.16
  5. Step 5: Solve for x
    x = 241,058,097,259.16/578,184.21
  6. Step 6: Final answer
    x = 416,922.66

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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.