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Finding the Fourth Proportional to 305,534, 421,639.80 and 171,400.88

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Solution

The fourth proportional to 305,534, 421,639.80 and 171,400.88 is: 236,534.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,534 : 421,639.80 = 171,400.88 : x
  2. Step 2: Convert to fraction form
    305,534/421,639.80 = 171,400.88/x
  3. Step 3: Cross multiply
    305,534x = 421,639.80 × 171,400.88
  4. Step 4: Simplify right side
    305,534x = 72,269,432,763.02
  5. Step 5: Solve for x
    x = 72,269,432,763.02/305,534
  6. Step 6: Final answer
    x = 236,534.83

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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.