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Finding the Fourth Proportional to 305,710.86, 421,881.80 and 169,745.06

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Solution

The fourth proportional to 305,710.86, 421,881.80 and 169,745.06 is: 234,248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,710.86 : 421,881.80 = 169,745.06 : x
  2. Step 2: Convert to fraction form
    305,710.86/421,881.80 = 169,745.06/x
  3. Step 3: Cross multiply
    305,710.86x = 421,881.80 × 169,745.06
  4. Step 4: Simplify right side
    305,710.86x = 71,612,351,453.91
  5. Step 5: Solve for x
    x = 71,612,351,453.91/305,710.86
  6. Step 6: Final answer
    x = 234,248.63

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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.