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Finding the Fourth Proportional to 378,703.68, 522,600.84 and 208,934.16

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Solution

The fourth proportional to 378,703.68, 522,600.84 and 208,934.16 is: 288,323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,703.68 : 522,600.84 = 208,934.16 : x
  2. Step 2: Convert to fraction form
    378,703.68/522,600.84 = 208,934.16/x
  3. Step 3: Cross multiply
    378,703.68x = 522,600.84 × 208,934.16
  4. Step 4: Simplify right side
    378,703.68x = 109,189,167,520.69
  5. Step 5: Solve for x
    x = 109,189,167,520.69/378,703.68
  6. Step 6: Final answer
    x = 288,323.49

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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.