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Finding the Fourth Proportional to 278,394.82, 417,653.69 and 118,462.21

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Solution

The fourth proportional to 278,394.82, 417,653.69 and 118,462.21 is: 177,719.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,394.82 : 417,653.69 = 118,462.21 : x
  2. Step 2: Convert to fraction form
    278,394.82/417,653.69 = 118,462.21/x
  3. Step 3: Cross multiply
    278,394.82x = 417,653.69 × 118,462.21
  4. Step 4: Simplify right side
    278,394.82x = 49,476,177,495.61
  5. Step 5: Solve for x
    x = 49,476,177,495.61/278,394.82
  6. Step 6: Final answer
    x = 177,719.46

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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.