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Finding the Fourth Proportional to 305,713.86, 421,885.94 and 169,748.06

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Solution

The fourth proportional to 305,713.86, 421,885.94 and 169,748.06 is: 234,252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,713.86 : 421,885.94 = 169,748.06 : x
  2. Step 2: Convert to fraction form
    305,713.86/421,885.94 = 169,748.06/x
  3. Step 3: Cross multiply
    305,713.86x = 421,885.94 × 169,748.06
  4. Step 4: Simplify right side
    305,713.86x = 71,614,319,856.28
  5. Step 5: Solve for x
    x = 71,614,319,856.28/305,713.86
  6. Step 6: Final answer
    x = 234,252.77

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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.