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Finding the Fourth Proportional to 305,557.80, 421,720.50 and 178,233.48

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Solution

The fourth proportional to 305,557.80, 421,720.50 and 178,233.48 is: 245,991.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,557.80 : 421,720.50 = 178,233.48 : x
  2. Step 2: Convert to fraction form
    305,557.80/421,720.50 = 178,233.48/x
  3. Step 3: Cross multiply
    305,557.80x = 421,720.50 × 178,233.48
  4. Step 4: Simplify right side
    305,557.80x = 75,164,712,302.34
  5. Step 5: Solve for x
    x = 75,164,712,302.34/305,557.80
  6. Step 6: Final answer
    x = 245,991.80

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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.