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Finding the Fourth Proportional to 378,733.80, 522,663.58 and 208,978.86

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Solution

The fourth proportional to 378,733.80, 522,663.58 and 208,978.86 is: 288,396.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,733.80 : 522,663.58 = 208,978.86 : x
  2. Step 2: Convert to fraction form
    378,733.80/522,663.58 = 208,978.86/x
  3. Step 3: Cross multiply
    378,733.80x = 522,663.58 × 208,978.86
  4. Step 4: Simplify right side
    378,733.80x = 109,225,639,111.92
  5. Step 5: Solve for x
    x = 109,225,639,111.92/378,733.80
  6. Step 6: Final answer
    x = 288,396.86

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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.