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Finding the Fourth Proportional to 378,233.62, 521,964.86 and 208,467.74

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Solution

The fourth proportional to 378,233.62, 521,964.86 and 208,467.74 is: 287,686.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,233.62 : 521,964.86 = 208,467.74 : x
  2. Step 2: Convert to fraction form
    378,233.62/521,964.86 = 208,467.74/x
  3. Step 3: Cross multiply
    378,233.62x = 521,964.86 × 208,467.74
  4. Step 4: Simplify right side
    378,233.62x = 108,812,834,723.62
  5. Step 5: Solve for x
    x = 108,812,834,723.62/378,233.62
  6. Step 6: Final answer
    x = 287,686.84

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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.