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Finding the Fourth Proportional to 389,659.86, 584,512.47 and 109,198.98

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Solution

The fourth proportional to 389,659.86, 584,512.47 and 109,198.98 is: 163,804.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,659.86 : 584,512.47 = 109,198.98 : x
  2. Step 2: Convert to fraction form
    389,659.86/584,512.47 = 109,198.98/x
  3. Step 3: Cross multiply
    389,659.86x = 584,512.47 × 109,198.98
  4. Step 4: Simplify right side
    389,659.86x = 63,828,165,521.28
  5. Step 5: Solve for x
    x = 63,828,165,521.28/389,659.86
  6. Step 6: Final answer
    x = 163,804.83

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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.