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Finding the Fourth Proportional to 389,337, 537,285.18 and 210,489

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Solution

The fourth proportional to 389,337, 537,285.18 and 210,489 is: 290,474.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,337 : 537,285.18 = 210,489 : x
  2. Step 2: Convert to fraction form
    389,337/537,285.18 = 210,489/x
  3. Step 3: Cross multiply
    389,337x = 537,285.18 × 210,489
  4. Step 4: Simplify right side
    389,337x = 113,092,620,253.02
  5. Step 5: Solve for x
    x = 113,092,620,253.02/389,337
  6. Step 6: Final answer
    x = 290,474.88

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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.