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Finding the Fourth Proportional to 315,382.56, 473,149.12 and 105,022.32

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Solution

The fourth proportional to 315,382.56, 473,149.12 and 105,022.32 is: 157,558.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,382.56 : 473,149.12 = 105,022.32 : x
  2. Step 2: Convert to fraction form
    315,382.56/473,149.12 = 105,022.32/x
  3. Step 3: Cross multiply
    315,382.56x = 473,149.12 × 105,022.32
  4. Step 4: Simplify right side
    315,382.56x = 49,691,218,288.36
  5. Step 5: Solve for x
    x = 49,691,218,288.36/315,382.56
  6. Step 6: Final answer
    x = 157,558.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.