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Finding the Fourth Proportional to 309,572.12, 427,028.27 and 194,668.97

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Solution

The fourth proportional to 309,572.12, 427,028.27 and 194,668.97 is: 268,529.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,572.12 : 427,028.27 = 194,668.97 : x
  2. Step 2: Convert to fraction form
    309,572.12/427,028.27 = 194,668.97/x
  3. Step 3: Cross multiply
    309,572.12x = 427,028.27 × 194,668.97
  4. Step 4: Simplify right side
    309,572.12x = 83,129,151,833.31
  5. Step 5: Solve for x
    x = 83,129,151,833.31/309,572.12
  6. Step 6: Final answer
    x = 268,529.19

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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.