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Finding the Fourth Proportional to 220,798.80, 304,396.22 and 149,065.20

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Solution

The fourth proportional to 220,798.80, 304,396.22 and 149,065.20 is: 205,503.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,798.80 : 304,396.22 = 149,065.20 : x
  2. Step 2: Convert to fraction form
    220,798.80/304,396.22 = 149,065.20/x
  3. Step 3: Cross multiply
    220,798.80x = 304,396.22 × 149,065.20
  4. Step 4: Simplify right side
    220,798.80x = 45,374,883,786.21
  5. Step 5: Solve for x
    x = 45,374,883,786.21/220,798.80
  6. Step 6: Final answer
    x = 205,503.31

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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.