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Finding the Fourth Proportional to 518,182.38, 776,683.94 and 315,331.09

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Solution

The fourth proportional to 518,182.38, 776,683.94 and 315,331.09 is: 472,637.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,182.38 : 776,683.94 = 315,331.09 : x
  2. Step 2: Convert to fraction form
    518,182.38/776,683.94 = 315,331.09/x
  3. Step 3: Cross multiply
    518,182.38x = 776,683.94 × 315,331.09
  4. Step 4: Simplify right side
    518,182.38x = 244,912,589,867.33
  5. Step 5: Solve for x
    x = 244,912,589,867.33/518,182.38
  6. Step 6: Final answer
    x = 472,637.82

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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.