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Finding the Fourth Proportional to 305,696.32, 421,813.92 and 171,534.40

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Solution

The fourth proportional to 305,696.32, 421,813.92 and 171,534.40 is: 236,691.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,696.32 : 421,813.92 = 171,534.40 : x
  2. Step 2: Convert to fraction form
    305,696.32/421,813.92 = 171,534.40/x
  3. Step 3: Cross multiply
    305,696.32x = 421,813.92 × 171,534.40
  4. Step 4: Simplify right side
    305,696.32x = 72,355,597,678.85
  5. Step 5: Solve for x
    x = 72,355,597,678.85/305,696.32
  6. Step 6: Final answer
    x = 236,691.10

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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.