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Finding the Fourth Proportional to 305,781.55, 421,981.08 and 169,817.75

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Solution

The fourth proportional to 305,781.55, 421,981.08 and 169,817.75 is: 234,349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,781.55 : 421,981.08 = 169,817.75 : x
  2. Step 2: Convert to fraction form
    305,781.55/421,981.08 = 169,817.75/x
  3. Step 3: Cross multiply
    305,781.55x = 421,981.08 × 169,817.75
  4. Step 4: Simplify right side
    305,781.55x = 71,659,877,548.17
  5. Step 5: Solve for x
    x = 71,659,877,548.17/305,781.55
  6. Step 6: Final answer
    x = 234,349.91

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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.