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Finding the Fourth Proportional to 817,294, 1,225,941 and 226,318

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Solution

The fourth proportional to 817,294, 1,225,941 and 226,318 is: 339,477

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,294 : 1,225,941 = 226,318 : x
  2. Step 2: Convert to fraction form
    817,294/1,225,941 = 226,318/x
  3. Step 3: Cross multiply
    817,294x = 1,225,941 × 226,318
  4. Step 4: Simplify right side
    817,294x = 277,452,515,238
  5. Step 5: Solve for x
    x = 277,452,515,238/817,294
  6. Step 6: Final answer
    x = 339,477

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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.