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Finding the Fourth Proportional to 378,191.75, 521,904.62 and 208,425.87

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Solution

The fourth proportional to 378,191.75, 521,904.62 and 208,425.87 is: 287,627.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,191.75 : 521,904.62 = 208,425.87 : x
  2. Step 2: Convert to fraction form
    378,191.75/521,904.62 = 208,425.87/x
  3. Step 3: Cross multiply
    378,191.75x = 521,904.62 × 208,425.87
  4. Step 4: Simplify right side
    378,191.75x = 108,778,423,438.39
  5. Step 5: Solve for x
    x = 108,778,423,438.39/378,191.75
  6. Step 6: Final answer
    x = 287,627.70

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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.