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Finding the Fourth Proportional to 378,248.16, 521,976 and 208,498.08

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Solution

The fourth proportional to 378,248.16, 521,976 and 208,498.08 is: 287,723.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,248.16 : 521,976 = 208,498.08 : x
  2. Step 2: Convert to fraction form
    378,248.16/521,976 = 208,498.08/x
  3. Step 3: Cross multiply
    378,248.16x = 521,976 × 208,498.08
  4. Step 4: Simplify right side
    378,248.16x = 108,830,993,806.08
  5. Step 5: Solve for x
    x = 108,830,993,806.08/378,248.16
  6. Step 6: Final answer
    x = 287,723.79

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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.