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Finding the Fourth Proportional to 305,093.31, 420,984.41 and 169,127.13

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Solution

The fourth proportional to 305,093.31, 420,984.41 and 169,127.13 is: 233,370.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,093.31 : 420,984.41 = 169,127.13 : x
  2. Step 2: Convert to fraction form
    305,093.31/420,984.41 = 169,127.13/x
  3. Step 3: Cross multiply
    305,093.31x = 420,984.41 × 169,127.13
  4. Step 4: Simplify right side
    305,093.31x = 71,199,884,192.41
  5. Step 5: Solve for x
    x = 71,199,884,192.41/305,093.31
  6. Step 6: Final answer
    x = 233,370.85

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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.