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Finding the Fourth Proportional to 389,797, 537,921.30 and 210,949

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Solution

The fourth proportional to 389,797, 537,921.30 and 210,949 is: 291,110.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,797 : 537,921.30 = 210,949 : x
  2. Step 2: Convert to fraction form
    389,797/537,921.30 = 210,949/x
  3. Step 3: Cross multiply
    389,797x = 537,921.30 × 210,949
  4. Step 4: Simplify right side
    389,797x = 113,473,960,313.70
  5. Step 5: Solve for x
    x = 113,473,960,313.70/389,797
  6. Step 6: Final answer
    x = 291,110.40

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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.