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Finding the Fourth Proportional to 294,536.78, 441,796.38 and 81,317.71

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Solution

The fourth proportional to 294,536.78, 441,796.38 and 81,317.71 is: 121,974.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,536.78 : 441,796.38 = 81,317.71 : x
  2. Step 2: Convert to fraction form
    294,536.78/441,796.38 = 81,317.71/x
  3. Step 3: Cross multiply
    294,536.78x = 441,796.38 × 81,317.71
  4. Step 4: Simplify right side
    294,536.78x = 35,925,870,155.19
  5. Step 5: Solve for x
    x = 35,925,870,155.19/294,536.78
  6. Step 6: Final answer
    x = 121,974.14

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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.