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Finding the Fourth Proportional to 378,744.53, 522,678.38 and 208,989.59

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Solution

The fourth proportional to 378,744.53, 522,678.38 and 208,989.59 is: 288,411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,744.53 : 522,678.38 = 208,989.59 : x
  2. Step 2: Convert to fraction form
    378,744.53/522,678.38 = 208,989.59/x
  3. Step 3: Cross multiply
    378,744.53x = 522,678.38 × 208,989.59
  4. Step 4: Simplify right side
    378,744.53x = 109,234,336,679.72
  5. Step 5: Solve for x
    x = 109,234,336,679.72/378,744.53
  6. Step 6: Final answer
    x = 288,411.66

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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.