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Finding the Fourth Proportional to 371,778.34, 513,053.05 and 202,012.42

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Solution

The fourth proportional to 371,778.34, 513,053.05 and 202,012.42 is: 278,776.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,778.34 : 513,053.05 = 202,012.42 : x
  2. Step 2: Convert to fraction form
    371,778.34/513,053.05 = 202,012.42/x
  3. Step 3: Cross multiply
    371,778.34x = 513,053.05 × 202,012.42
  4. Step 4: Simplify right side
    371,778.34x = 103,643,084,643.55
  5. Step 5: Solve for x
    x = 103,643,084,643.55/371,778.34
  6. Step 6: Final answer
    x = 278,776.56

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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.