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Finding the Fourth Proportional to 371,782.32, 513,062.73 and 202,016.46

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Solution

The fourth proportional to 371,782.32, 513,062.73 and 202,016.46 is: 278,784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,782.32 : 513,062.73 = 202,016.46 : x
  2. Step 2: Convert to fraction form
    371,782.32/513,062.73 = 202,016.46/x
  3. Step 3: Cross multiply
    371,782.32x = 513,062.73 × 202,016.46
  4. Step 4: Simplify right side
    371,782.32x = 103,647,116,472.54
  5. Step 5: Solve for x
    x = 103,647,116,472.54/371,782.32
  6. Step 6: Final answer
    x = 278,784.41

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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.