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Finding the Fourth Proportional to 358,680.60, 538,091.78 and 105,965.56

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Solution

The fourth proportional to 358,680.60, 538,091.78 and 105,965.56 is: 158,969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,680.60 : 538,091.78 = 105,965.56 : x
  2. Step 2: Convert to fraction form
    358,680.60/538,091.78 = 105,965.56/x
  3. Step 3: Cross multiply
    358,680.60x = 538,091.78 × 105,965.56
  4. Step 4: Simplify right side
    358,680.60x = 57,019,196,799.10
  5. Step 5: Solve for x
    x = 57,019,196,799.10/358,680.60
  6. Step 6: Final answer
    x = 158,969.28

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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.