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Finding the Fourth Proportional to 811,901, 1,217,856.54 and 212,856.78

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Solution

The fourth proportional to 811,901, 1,217,856.54 and 212,856.78 is: 319,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,901 : 1,217,856.54 = 212,856.78 : x
  2. Step 2: Convert to fraction form
    811,901/1,217,856.54 = 212,856.78/x
  3. Step 3: Cross multiply
    811,901x = 1,217,856.54 × 212,856.78
  4. Step 4: Simplify right side
    811,901x = 259,229,021,606.34
  5. Step 5: Solve for x
    x = 259,229,021,606.34/811,901
  6. Step 6: Final answer
    x = 319,286.49

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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.