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Finding the Fourth Proportional to 378,280.68, 522,030.92 and 208,520.88

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Solution

The fourth proportional to 378,280.68, 522,030.92 and 208,520.88 is: 287,760.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,280.68 : 522,030.92 = 208,520.88 : x
  2. Step 2: Convert to fraction form
    378,280.68/522,030.92 = 208,520.88/x
  3. Step 3: Cross multiply
    378,280.68x = 522,030.92 × 208,520.88
  4. Step 4: Simplify right side
    378,280.68x = 108,854,346,825.61
  5. Step 5: Solve for x
    x = 108,854,346,825.61/378,280.68
  6. Step 6: Final answer
    x = 287,760.79

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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.