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Finding the Fourth Proportional to 305,261.85, 421,287.23 and 169,339.59

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Solution

The fourth proportional to 305,261.85, 421,287.23 and 169,339.59 is: 233,702.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,261.85 : 421,287.23 = 169,339.59 : x
  2. Step 2: Convert to fraction form
    305,261.85/421,287.23 = 169,339.59/x
  3. Step 3: Cross multiply
    305,261.85x = 421,287.23 × 169,339.59
  4. Step 4: Simplify right side
    305,261.85x = 71,340,605,953.74
  5. Step 5: Solve for x
    x = 71,340,605,953.74/305,261.85
  6. Step 6: Final answer
    x = 233,702.99

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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.