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Finding the Fourth Proportional to 389,701.50, 537,789.69 and 210,853.50

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Solution

The fourth proportional to 389,701.50, 537,789.69 and 210,853.50 is: 290,978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,701.50 : 537,789.69 = 210,853.50 : x
  2. Step 2: Convert to fraction form
    389,701.50/537,789.69 = 210,853.50/x
  3. Step 3: Cross multiply
    389,701.50x = 537,789.69 × 210,853.50
  4. Step 4: Simplify right side
    389,701.50x = 113,394,838,400.42
  5. Step 5: Solve for x
    x = 113,394,838,400.42/389,701.50
  6. Step 6: Final answer
    x = 290,978.71

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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.