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Finding the Fourth Proportional to 371,879.08, 513,190.71 and 202,113.20

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Solution

The fourth proportional to 371,879.08, 513,190.71 and 202,113.20 is: 278,914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,879.08 : 513,190.71 = 202,113.20 : x
  2. Step 2: Convert to fraction form
    371,879.08/513,190.71 = 202,113.20/x
  3. Step 3: Cross multiply
    371,879.08x = 513,190.71 × 202,113.20
  4. Step 4: Simplify right side
    371,879.08x = 103,722,617,891.35
  5. Step 5: Solve for x
    x = 103,722,617,891.35/371,879.08
  6. Step 6: Final answer
    x = 278,914.91

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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.