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Finding the Fourth Proportional to 294,117.54, 405,882.20 and 159,981.54

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Solution

The fourth proportional to 294,117.54, 405,882.20 and 159,981.54 is: 220,774.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,117.54 : 405,882.20 = 159,981.54 : x
  2. Step 2: Convert to fraction form
    294,117.54/405,882.20 = 159,981.54/x
  3. Step 3: Cross multiply
    294,117.54x = 405,882.20 × 159,981.54
  4. Step 4: Simplify right side
    294,117.54x = 64,933,659,414.59
  5. Step 5: Solve for x
    x = 64,933,659,414.59/294,117.54
  6. Step 6: Final answer
    x = 220,774.52

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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.