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Finding the Fourth Proportional to 305,144.91, 421,124.90 and 169,221.47

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Solution

The fourth proportional to 305,144.91, 421,124.90 and 169,221.47 is: 233,539.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,144.91 : 421,124.90 = 169,221.47 : x
  2. Step 2: Convert to fraction form
    305,144.91/421,124.90 = 169,221.47/x
  3. Step 3: Cross multiply
    305,144.91x = 421,124.90 × 169,221.47
  4. Step 4: Simplify right side
    305,144.91x = 71,263,371,679.87
  5. Step 5: Solve for x
    x = 71,263,371,679.87/305,144.91
  6. Step 6: Final answer
    x = 233,539.44

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1.5x scale

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.