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Finding the Fourth Proportional to 389,787, 537,906.33 and 210,939

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Solution

The fourth proportional to 389,787, 537,906.33 and 210,939 is: 291,095.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,787 : 537,906.33 = 210,939 : x
  2. Step 2: Convert to fraction form
    389,787/537,906.33 = 210,939/x
  3. Step 3: Cross multiply
    389,787x = 537,906.33 × 210,939
  4. Step 4: Simplify right side
    389,787x = 113,465,423,343.87
  5. Step 5: Solve for x
    x = 113,465,423,343.87/389,787
  6. Step 6: Final answer
    x = 291,095.97

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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.