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Finding the Fourth Proportional to 315,062.93, 434,769.56 and 179,078.01

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Solution

The fourth proportional to 315,062.93, 434,769.56 and 179,078.01 is: 247,117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,062.93 : 434,769.56 = 179,078.01 : x
  2. Step 2: Convert to fraction form
    315,062.93/434,769.56 = 179,078.01/x
  3. Step 3: Cross multiply
    315,062.93x = 434,769.56 × 179,078.01
  4. Step 4: Simplify right side
    315,062.93x = 77,857,665,759.14
  5. Step 5: Solve for x
    x = 77,857,665,759.14/315,062.93
  6. Step 6: Final answer
    x = 247,117.82

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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.