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Finding the Fourth Proportional to 382,481.02, 527,842.47 and 212,711.50

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Solution

The fourth proportional to 382,481.02, 527,842.47 and 212,711.50 is: 293,552.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,481.02 : 527,842.47 = 212,711.50 : x
  2. Step 2: Convert to fraction form
    382,481.02/527,842.47 = 212,711.50/x
  3. Step 3: Cross multiply
    382,481.02x = 527,842.47 × 212,711.50
  4. Step 4: Simplify right side
    382,481.02x = 112,278,163,557.41
  5. Step 5: Solve for x
    x = 112,278,163,557.41/382,481.02
  6. Step 6: Final answer
    x = 293,552.25

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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.