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Finding the Fourth Proportional to 278,971.60, 418,053.52 and 192,328.54

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Solution

The fourth proportional to 278,971.60, 418,053.52 and 192,328.54 is: 288,214.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,971.60 : 418,053.52 = 192,328.54 : x
  2. Step 2: Convert to fraction form
    278,971.60/418,053.52 = 192,328.54/x
  3. Step 3: Cross multiply
    278,971.60x = 418,053.52 × 192,328.54
  4. Step 4: Simplify right side
    278,971.60x = 80,403,623,143.46
  5. Step 5: Solve for x
    x = 80,403,623,143.46/278,971.60
  6. Step 6: Final answer
    x = 288,214.37

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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.