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Finding the Fourth Proportional to 412,815, 619,251.66 and 163,497

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Solution

The fourth proportional to 412,815, 619,251.66 and 163,497 is: 245,257.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,815 : 619,251.66 = 163,497 : x
  2. Step 2: Convert to fraction form
    412,815/619,251.66 = 163,497/x
  3. Step 3: Cross multiply
    412,815x = 619,251.66 × 163,497
  4. Step 4: Simplify right side
    412,815x = 101,245,788,655.02
  5. Step 5: Solve for x
    x = 101,245,788,655.02/412,815
  6. Step 6: Final answer
    x = 245,257.05

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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.