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Finding the Fourth Proportional to 378,293.85, 522,082.26 and 282,634.47

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Solution

The fourth proportional to 378,293.85, 522,082.26 and 282,634.47 is: 390,063.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,293.85 : 522,082.26 = 282,634.47 : x
  2. Step 2: Convert to fraction form
    378,293.85/522,082.26 = 282,634.47/x
  3. Step 3: Cross multiply
    378,293.85x = 522,082.26 × 282,634.47
  4. Step 4: Simplify right side
    378,293.85x = 147,558,442,851.50
  5. Step 5: Solve for x
    x = 147,558,442,851.50/378,293.85
  6. Step 6: Final answer
    x = 390,063.02

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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.