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Finding the Fourth Proportional to 300,238.56, 414,098.40 and 209,565.60

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Solution

The fourth proportional to 300,238.56, 414,098.40 and 209,565.60 is: 289,039.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,238.56 : 414,098.40 = 209,565.60 : x
  2. Step 2: Convert to fraction form
    300,238.56/414,098.40 = 209,565.60/x
  3. Step 3: Cross multiply
    300,238.56x = 414,098.40 × 209,565.60
  4. Step 4: Simplify right side
    300,238.56x = 86,780,779,655.04
  5. Step 5: Solve for x
    x = 86,780,779,655.04/300,238.56
  6. Step 6: Final answer
    x = 289,039.42

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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.