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Finding the Fourth Proportional to 299,097.28, 412,748 and 164,961.28

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Solution

The fourth proportional to 299,097.28, 412,748 and 164,961.28 is: 227,643.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,097.28 : 412,748 = 164,961.28 : x
  2. Step 2: Convert to fraction form
    299,097.28/412,748 = 164,961.28/x
  3. Step 3: Cross multiply
    299,097.28x = 412,748 × 164,961.28
  4. Step 4: Simplify right side
    299,097.28x = 68,087,438,397.44
  5. Step 5: Solve for x
    x = 68,087,438,397.44/299,097.28
  6. Step 6: Final answer
    x = 227,643.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.