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Finding the Fourth Proportional to 209,644.71, 289,489.52 and 202,866.15

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Solution

The fourth proportional to 209,644.71, 289,489.52 and 202,866.15 is: 280,129.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,644.71 : 289,489.52 = 202,866.15 : x
  2. Step 2: Convert to fraction form
    209,644.71/289,489.52 = 202,866.15/x
  3. Step 3: Cross multiply
    209,644.71x = 289,489.52 × 202,866.15
  4. Step 4: Simplify right side
    209,644.71x = 58,727,623,373.42
  5. Step 5: Solve for x
    x = 58,727,623,373.42/209,644.71
  6. Step 6: Final answer
    x = 280,129.29

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1.5x scale

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.