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Finding the Fourth Proportional to 817,275, 1,225,912.50 and 226,299

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Solution

The fourth proportional to 817,275, 1,225,912.50 and 226,299 is: 339,448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,275 : 1,225,912.50 = 226,299 : x
  2. Step 2: Convert to fraction form
    817,275/1,225,912.50 = 226,299/x
  3. Step 3: Cross multiply
    817,275x = 1,225,912.50 × 226,299
  4. Step 4: Simplify right side
    817,275x = 277,422,772,837.50
  5. Step 5: Solve for x
    x = 277,422,772,837.50/817,275
  6. Step 6: Final answer
    x = 339,448.50

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1.5x scale

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.