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Finding the Fourth Proportional to 305,684, 421,882.80 and 171,548

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Solution

The fourth proportional to 305,684, 421,882.80 and 171,548 is: 236,758.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,684 : 421,882.80 = 171,548 : x
  2. Step 2: Convert to fraction form
    305,684/421,882.80 = 171,548/x
  3. Step 3: Cross multiply
    305,684x = 421,882.80 × 171,548
  4. Step 4: Simplify right side
    305,684x = 72,373,150,574.40
  5. Step 5: Solve for x
    x = 72,373,150,574.40/305,684
  6. Step 6: Final answer
    x = 236,758.06

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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.