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Finding the Fourth Proportional to 389,685, 537,765.30 and 210,837

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Solution

The fourth proportional to 389,685, 537,765.30 and 210,837 is: 290,955.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,685 : 537,765.30 = 210,837 : x
  2. Step 2: Convert to fraction form
    389,685/537,765.30 = 210,837/x
  3. Step 3: Cross multiply
    389,685x = 537,765.30 × 210,837
  4. Step 4: Simplify right side
    389,685x = 113,380,822,556.10
  5. Step 5: Solve for x
    x = 113,380,822,556.10/389,685
  6. Step 6: Final answer
    x = 290,955.06

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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.