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Finding the Fourth Proportional to 278,747.36, 384,672.40 and 164,030.48

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Solution

The fourth proportional to 278,747.36, 384,672.40 and 164,030.48 is: 226,362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,747.36 : 384,672.40 = 164,030.48 : x
  2. Step 2: Convert to fraction form
    278,747.36/384,672.40 = 164,030.48/x
  3. Step 3: Cross multiply
    278,747.36x = 384,672.40 × 164,030.48
  4. Step 4: Simplify right side
    278,747.36x = 63,097,998,414.75
  5. Step 5: Solve for x
    x = 63,097,998,414.75/278,747.36
  6. Step 6: Final answer
    x = 226,362.68

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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.