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Finding the Fourth Proportional to 391,053.44, 539,653.75 and 212,205.44

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Solution

The fourth proportional to 391,053.44, 539,653.75 and 212,205.44 is: 292,843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,053.44 : 539,653.75 = 212,205.44 : x
  2. Step 2: Convert to fraction form
    391,053.44/539,653.75 = 212,205.44/x
  3. Step 3: Cross multiply
    391,053.44x = 539,653.75 × 212,205.44
  4. Step 4: Simplify right side
    391,053.44x = 114,517,461,466.40
  5. Step 5: Solve for x
    x = 114,517,461,466.40/391,053.44
  6. Step 6: Final answer
    x = 292,843.51

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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.