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Finding the Fourth Proportional to 371,987.21, 513,309.52 and 206,419.33

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Solution

The fourth proportional to 371,987.21, 513,309.52 and 206,419.33 is: 284,840.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,987.21 : 513,309.52 = 206,419.33 : x
  2. Step 2: Convert to fraction form
    371,987.21/513,309.52 = 206,419.33/x
  3. Step 3: Cross multiply
    371,987.21x = 513,309.52 × 206,419.33
  4. Step 4: Simplify right side
    371,987.21x = 105,957,007,201.02
  5. Step 5: Solve for x
    x = 105,957,007,201.02/371,987.21
  6. Step 6: Final answer
    x = 284,840.46

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1.5x scale

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.