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Finding the Fourth Proportional to 389,704, 537,791.52 and 210,856

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Solution

The fourth proportional to 389,704, 537,791.52 and 210,856 is: 290,981.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,704 : 537,791.52 = 210,856 : x
  2. Step 2: Convert to fraction form
    389,704/537,791.52 = 210,856/x
  3. Step 3: Cross multiply
    389,704x = 537,791.52 × 210,856
  4. Step 4: Simplify right side
    389,704x = 113,396,568,741.12
  5. Step 5: Solve for x
    x = 113,396,568,741.12/389,704
  6. Step 6: Final answer
    x = 290,981.28

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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.