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Finding the Fourth Proportional to 209,643.46, 289,487.82 and 202,864.84

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Solution

The fourth proportional to 209,643.46, 289,487.82 and 202,864.84 is: 280,127.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,643.46 : 289,487.82 = 202,864.84 : x
  2. Step 2: Convert to fraction form
    209,643.46/289,487.82 = 202,864.84/x
  3. Step 3: Cross multiply
    209,643.46x = 289,487.82 × 202,864.84
  4. Step 4: Simplify right side
    209,643.46x = 58,726,900,286.25
  5. Step 5: Solve for x
    x = 58,726,900,286.25/209,643.46
  6. Step 6: Final answer
    x = 280,127.51

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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.