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Finding the Fourth Proportional to 305,089.09, 420,978.60 and 169,122.92

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Solution

The fourth proportional to 305,089.09, 420,978.60 and 169,122.92 is: 233,365.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,089.09 : 420,978.60 = 169,122.92 : x
  2. Step 2: Convert to fraction form
    305,089.09/420,978.60 = 169,122.92/x
  3. Step 3: Cross multiply
    305,089.09x = 420,978.60 × 169,122.92
  4. Step 4: Simplify right side
    305,089.09x = 71,197,127,984.62
  5. Step 5: Solve for x
    x = 71,197,127,984.62/305,089.09
  6. Step 6: Final answer
    x = 233,365.04

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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.