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Finding the Fourth Proportional to 305,137.66, 421,089.27 and 169,168.11

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Solution

The fourth proportional to 305,137.66, 421,089.27 and 169,168.11 is: 233,451.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,137.66 : 421,089.27 = 169,168.11 : x
  2. Step 2: Convert to fraction form
    305,137.66/421,089.27 = 169,168.11/x
  3. Step 3: Cross multiply
    305,137.66x = 421,089.27 × 169,168.11
  4. Step 4: Simplify right side
    305,137.66x = 71,234,875,039.55
  5. Step 5: Solve for x
    x = 71,234,875,039.55/305,137.66
  6. Step 6: Final answer
    x = 233,451.60

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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.