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Finding the Fourth Proportional to 310,786.40, 466,179.56 and 205,580.78

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Solution

The fourth proportional to 310,786.40, 466,179.56 and 205,580.78 is: 308,371.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,786.40 : 466,179.56 = 205,580.78 : x
  2. Step 2: Convert to fraction form
    310,786.40/466,179.56 = 205,580.78/x
  3. Step 3: Cross multiply
    310,786.40x = 466,179.56 × 205,580.78
  4. Step 4: Simplify right side
    310,786.40x = 95,837,557,564.86
  5. Step 5: Solve for x
    x = 95,837,557,564.86/310,786.40
  6. Step 6: Final answer
    x = 308,371.14

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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.