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Finding the Fourth Proportional to 315,112.98, 472,873.95 and 188,657.94

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Solution

The fourth proportional to 315,112.98, 472,873.95 and 188,657.94 is: 283,109.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,112.98 : 472,873.95 = 188,657.94 : x
  2. Step 2: Convert to fraction form
    315,112.98/472,873.95 = 188,657.94/x
  3. Step 3: Cross multiply
    315,112.98x = 472,873.95 × 188,657.94
  4. Step 4: Simplify right side
    315,112.98x = 89,211,425,286.66
  5. Step 5: Solve for x
    x = 89,211,425,286.66/315,112.98
  6. Step 6: Final answer
    x = 283,109.33

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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.