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Finding the Fourth Proportional to 218,643.57, 301,092.89 and 189,950.13

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Solution

The fourth proportional to 218,643.57, 301,092.89 and 189,950.13 is: 261,579.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,643.57 : 301,092.89 = 189,950.13 : x
  2. Step 2: Convert to fraction form
    218,643.57/301,092.89 = 189,950.13/x
  3. Step 3: Cross multiply
    218,643.57x = 301,092.89 × 189,950.13
  4. Step 4: Simplify right side
    218,643.57x = 57,192,632,647.83
  5. Step 5: Solve for x
    x = 57,192,632,647.83/218,643.57
  6. Step 6: Final answer
    x = 261,579.30

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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.