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Finding the Fourth Proportional to 305,978.95, 421,871.28 and 203,780.35

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Solution

The fourth proportional to 305,978.95, 421,871.28 and 203,780.35 is: 280,964.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,978.95 : 421,871.28 = 203,780.35 : x
  2. Step 2: Convert to fraction form
    305,978.95/421,871.28 = 203,780.35/x
  3. Step 3: Cross multiply
    305,978.95x = 421,871.28 × 203,780.35
  4. Step 4: Simplify right side
    305,978.95x = 85,969,078,002.78
  5. Step 5: Solve for x
    x = 85,969,078,002.78/305,978.95
  6. Step 6: Final answer
    x = 280,964.03

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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.