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Finding the Fourth Proportional to 209,645.46, 289,490.58 and 202,866.84

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Solution

The fourth proportional to 209,645.46, 289,490.58 and 202,866.84 is: 280,130.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,645.46 : 289,490.58 = 202,866.84 : x
  2. Step 2: Convert to fraction form
    209,645.46/289,490.58 = 202,866.84/x
  3. Step 3: Cross multiply
    209,645.46x = 289,490.58 × 202,866.84
  4. Step 4: Simplify right side
    209,645.46x = 58,728,039,174.37
  5. Step 5: Solve for x
    x = 58,728,039,174.37/209,645.46
  6. Step 6: Final answer
    x = 280,130.27

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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.