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Finding the Fourth Proportional to 378,294.64, 522,050.16 and 208,534.88

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Solution

The fourth proportional to 378,294.64, 522,050.16 and 208,534.88 is: 287,780.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,294.64 : 522,050.16 = 208,534.88 : x
  2. Step 2: Convert to fraction form
    378,294.64/522,050.16 = 208,534.88/x
  3. Step 3: Cross multiply
    378,294.64x = 522,050.16 × 208,534.88
  4. Step 4: Simplify right side
    378,294.64x = 108,865,667,469.58
  5. Step 5: Solve for x
    x = 108,865,667,469.58/378,294.64
  6. Step 6: Final answer
    x = 287,780.10

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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.