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Finding the Fourth Proportional to 389,697, 537,781.86 and 210,849

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Solution

The fourth proportional to 389,697, 537,781.86 and 210,849 is: 290,971.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,697 : 537,781.86 = 210,849 : x
  2. Step 2: Convert to fraction form
    389,697/537,781.86 = 210,849/x
  3. Step 3: Cross multiply
    389,697x = 537,781.86 × 210,849
  4. Step 4: Simplify right side
    389,697x = 113,390,767,399.14
  5. Step 5: Solve for x
    x = 113,390,767,399.14/389,697
  6. Step 6: Final answer
    x = 290,971.62

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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.