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Finding the Fourth Proportional to 378,630.74, 522,512.22 and 208,864.86

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Solution

The fourth proportional to 378,630.74, 522,512.22 and 208,864.86 is: 288,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,630.74 : 522,512.22 = 208,864.86 : x
  2. Step 2: Convert to fraction form
    378,630.74/522,512.22 = 208,864.86/x
  3. Step 3: Cross multiply
    378,630.74x = 522,512.22 × 208,864.86
  4. Step 4: Simplify right side
    378,630.74x = 109,134,441,678.59
  5. Step 5: Solve for x
    x = 109,134,441,678.59/378,630.74
  6. Step 6: Final answer
    x = 288,234.50

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1.5x scale

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.