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Finding the Fourth Proportional to 817,290, 1,225,935 and 226,314

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Solution

The fourth proportional to 817,290, 1,225,935 and 226,314 is: 339,471

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,290 : 1,225,935 = 226,314 : x
  2. Step 2: Convert to fraction form
    817,290/1,225,935 = 226,314/x
  3. Step 3: Cross multiply
    817,290x = 1,225,935 × 226,314
  4. Step 4: Simplify right side
    817,290x = 277,446,253,590
  5. Step 5: Solve for x
    x = 277,446,253,590/817,290
  6. Step 6: Final answer
    x = 339,471

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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.