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Finding the Fourth Proportional to 378,811.86, 568,203.95 and 112,565.46

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Solution

The fourth proportional to 378,811.86, 568,203.95 and 112,565.46 is: 168,844.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,811.86 : 568,203.95 = 112,565.46 : x
  2. Step 2: Convert to fraction form
    378,811.86/568,203.95 = 112,565.46/x
  3. Step 3: Cross multiply
    378,811.86x = 568,203.95 × 112,565.46
  4. Step 4: Simplify right side
    378,811.86x = 63,960,139,286.98
  5. Step 5: Solve for x
    x = 63,960,139,286.98/378,811.86
  6. Step 6: Final answer
    x = 168,844.08

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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.