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Finding the Fourth Proportional to 817,656, 1,226,484 and 226,680

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Solution

The fourth proportional to 817,656, 1,226,484 and 226,680 is: 340,020

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,656 : 1,226,484 = 226,680 : x
  2. Step 2: Convert to fraction form
    817,656/1,226,484 = 226,680/x
  3. Step 3: Cross multiply
    817,656x = 1,226,484 × 226,680
  4. Step 4: Simplify right side
    817,656x = 278,019,393,120
  5. Step 5: Solve for x
    x = 278,019,393,120/817,656
  6. Step 6: Final answer
    x = 340,020

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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.