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Finding the Fourth Proportional to 371,778.57, 513,057.57 and 202,012.68

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Solution

The fourth proportional to 371,778.57, 513,057.57 and 202,012.68 is: 278,779.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,778.57 : 513,057.57 = 202,012.68 : x
  2. Step 2: Convert to fraction form
    371,778.57/513,057.57 = 202,012.68/x
  3. Step 3: Cross multiply
    371,778.57x = 513,057.57 × 202,012.68
  4. Step 4: Simplify right side
    371,778.57x = 103,644,134,709.99
  5. Step 5: Solve for x
    x = 103,644,134,709.99/371,778.57
  6. Step 6: Final answer
    x = 278,779.21

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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.