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Finding the Fourth Proportional to 399,012, 550,648.08 and 220,175.52

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Solution

The fourth proportional to 399,012, 550,648.08 and 220,175.52 is: 303,848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,012 : 550,648.08 = 220,175.52 : x
  2. Step 2: Convert to fraction form
    399,012/550,648.08 = 220,175.52/x
  3. Step 3: Cross multiply
    399,012x = 550,648.08 × 220,175.52
  4. Step 4: Simplify right side
    399,012x = 121,239,227,351.00
  5. Step 5: Solve for x
    x = 121,239,227,351.00/399,012
  6. Step 6: Final answer
    x = 303,848.57

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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.