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Finding the Fourth Proportional to 378,279.90, 522,023.55 and 208,513.74

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Solution

The fourth proportional to 378,279.90, 522,023.55 and 208,513.74 is: 287,747.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,279.90 : 522,023.55 = 208,513.74 : x
  2. Step 2: Convert to fraction form
    378,279.90/522,023.55 = 208,513.74/x
  3. Step 3: Cross multiply
    378,279.90x = 522,023.55 × 208,513.74
  4. Step 4: Simplify right side
    378,279.90x = 108,849,082,778.58
  5. Step 5: Solve for x
    x = 108,849,082,778.58/378,279.90
  6. Step 6: Final answer
    x = 287,747.47

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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.