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Finding the Fourth Proportional to 378,280.44, 522,026.88 and 208,517.40

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Solution

The fourth proportional to 378,280.44, 522,026.88 and 208,517.40 is: 287,753.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,280.44 : 522,026.88 = 208,517.40 : x
  2. Step 2: Convert to fraction form
    378,280.44/522,026.88 = 208,517.40/x
  3. Step 3: Cross multiply
    378,280.44x = 522,026.88 × 208,517.40
  4. Step 4: Simplify right side
    378,280.44x = 108,851,687,747.71
  5. Step 5: Solve for x
    x = 108,851,687,747.71/378,280.44
  6. Step 6: Final answer
    x = 287,753.94

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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.