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Finding the Fourth Proportional to 378,437.80, 522,235.62 and 208,672.36

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Solution

The fourth proportional to 378,437.80, 522,235.62 and 208,672.36 is: 287,963.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,437.80 : 522,235.62 = 208,672.36 : x
  2. Step 2: Convert to fraction form
    378,437.80/522,235.62 = 208,672.36/x
  3. Step 3: Cross multiply
    378,437.80x = 522,235.62 × 208,672.36
  4. Step 4: Simplify right side
    378,437.80x = 108,976,139,301.46
  5. Step 5: Solve for x
    x = 108,976,139,301.46/378,437.80
  6. Step 6: Final answer
    x = 287,963.15

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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.