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Finding the Fourth Proportional to 386,204.61, 532,993.77 and 214,139.65

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Solution

The fourth proportional to 386,204.61, 532,993.77 and 214,139.65 is: 295,530.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,204.61 : 532,993.77 = 214,139.65 : x
  2. Step 2: Convert to fraction form
    386,204.61/532,993.77 = 214,139.65/x
  3. Step 3: Cross multiply
    386,204.61x = 532,993.77 × 214,139.65
  4. Step 4: Simplify right side
    386,204.61x = 114,135,099,026.86
  5. Step 5: Solve for x
    x = 114,135,099,026.86/386,204.61
  6. Step 6: Final answer
    x = 295,530.13

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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.