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Finding the Fourth Proportional to 817,272, 1,225,908 and 226,296

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Solution

The fourth proportional to 817,272, 1,225,908 and 226,296 is: 339,444

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,272 : 1,225,908 = 226,296 : x
  2. Step 2: Convert to fraction form
    817,272/1,225,908 = 226,296/x
  3. Step 3: Cross multiply
    817,272x = 1,225,908 × 226,296
  4. Step 4: Simplify right side
    817,272x = 277,418,076,768
  5. Step 5: Solve for x
    x = 277,418,076,768/817,272
  6. Step 6: Final answer
    x = 339,444

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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.