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Finding the Fourth Proportional to 315,003.74, 472,357.83 and 115,184.39

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Solution

The fourth proportional to 315,003.74, 472,357.83 and 115,184.39 is: 172,722.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,003.74 : 472,357.83 = 115,184.39 : x
  2. Step 2: Convert to fraction form
    315,003.74/472,357.83 = 115,184.39/x
  3. Step 3: Cross multiply
    315,003.74x = 472,357.83 × 115,184.39
  4. Step 4: Simplify right side
    315,003.74x = 54,408,246,148.48
  5. Step 5: Solve for x
    x = 54,408,246,148.48/315,003.74
  6. Step 6: Final answer
    x = 172,722.54

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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.