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Finding the Fourth Proportional to 371,782.72, 513,059.19 and 202,016.86

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Solution

The fourth proportional to 371,782.72, 513,059.19 and 202,016.86 is: 278,782.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,782.72 : 513,059.19 = 202,016.86 : x
  2. Step 2: Convert to fraction form
    371,782.72/513,059.19 = 202,016.86/x
  3. Step 3: Cross multiply
    371,782.72x = 513,059.19 × 202,016.86
  4. Step 4: Simplify right side
    371,782.72x = 103,646,606,557.94
  5. Step 5: Solve for x
    x = 103,646,606,557.94/371,782.72
  6. Step 6: Final answer
    x = 278,782.74

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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.