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Finding the Fourth Proportional to 305,209, 421,188.42 and 171,073

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Solution

The fourth proportional to 305,209, 421,188.42 and 171,073 is: 236,080.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,209 : 421,188.42 = 171,073 : x
  2. Step 2: Convert to fraction form
    305,209/421,188.42 = 171,073/x
  3. Step 3: Cross multiply
    305,209x = 421,188.42 × 171,073
  4. Step 4: Simplify right side
    305,209x = 72,053,966,574.66
  5. Step 5: Solve for x
    x = 72,053,966,574.66/305,209
  6. Step 6: Final answer
    x = 236,080.74

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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.