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Finding the Fourth Proportional to 378,625.68, 522,463.04 and 208,859.80

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Solution

The fourth proportional to 378,625.68, 522,463.04 and 208,859.80 is: 288,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,625.68 : 522,463.04 = 208,859.80 : x
  2. Step 2: Convert to fraction form
    378,625.68/522,463.04 = 208,859.80/x
  3. Step 3: Cross multiply
    378,625.68x = 522,463.04 × 208,859.80
  4. Step 4: Simplify right side
    378,625.68x = 109,121,526,041.79
  5. Step 5: Solve for x
    x = 109,121,526,041.79/378,625.68
  6. Step 6: Final answer
    x = 288,204.24

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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.