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Finding the Fourth Proportional to 378,178.60, 521,909.54 and 208,412.52

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Solution

The fourth proportional to 378,178.60, 521,909.54 and 208,412.52 is: 287,621.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,178.60 : 521,909.54 = 208,412.52 : x
  2. Step 2: Convert to fraction form
    378,178.60/521,909.54 = 208,412.52/x
  3. Step 3: Cross multiply
    378,178.60x = 521,909.54 × 208,412.52
  4. Step 4: Simplify right side
    378,178.60x = 108,772,482,443.44
  5. Step 5: Solve for x
    x = 108,772,482,443.44/378,178.60
  6. Step 6: Final answer
    x = 287,621.99

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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.