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Finding the Fourth Proportional to 398,820.39, 598,346.42 and 128,942.77

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Solution

The fourth proportional to 398,820.39, 598,346.42 and 128,942.77 is: 193,451.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,820.39 : 598,346.42 = 128,942.77 : x
  2. Step 2: Convert to fraction form
    398,820.39/598,346.42 = 128,942.77/x
  3. Step 3: Cross multiply
    398,820.39x = 598,346.42 × 128,942.77
  4. Step 4: Simplify right side
    398,820.39x = 77,152,444,169.67
  5. Step 5: Solve for x
    x = 77,152,444,169.67/398,820.39
  6. Step 6: Final answer
    x = 193,451.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.