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Finding the Fourth Proportional to 378,440.40, 522,248.84 and 208,670.80

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Solution

The fourth proportional to 378,440.40, 522,248.84 and 208,670.80 is: 287,966.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,440.40 : 522,248.84 = 208,670.80 : x
  2. Step 2: Convert to fraction form
    378,440.40/522,248.84 = 208,670.80/x
  3. Step 3: Cross multiply
    378,440.40x = 522,248.84 × 208,670.80
  4. Step 4: Simplify right side
    378,440.40x = 108,978,083,241.87
  5. Step 5: Solve for x
    x = 108,978,083,241.87/378,440.40
  6. Step 6: Final answer
    x = 287,966.30

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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.