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Finding the Fourth Proportional to 305,187.63, 421,113.86 and 169,222.56

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Solution

The fourth proportional to 305,187.63, 421,113.86 and 169,222.56 is: 233,502.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,187.63 : 421,113.86 = 169,222.56 : x
  2. Step 2: Convert to fraction form
    305,187.63/421,113.86 = 169,222.56/x
  3. Step 3: Cross multiply
    305,187.63x = 421,113.86 × 169,222.56
  4. Step 4: Simplify right side
    305,187.63x = 71,261,966,493.47
  5. Step 5: Solve for x
    x = 71,261,966,493.47/305,187.63
  6. Step 6: Final answer
    x = 233,502.15

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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.