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Finding the Fourth Proportional to 238,426.38, 357,786.99 and 138,633.30

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Solution

The fourth proportional to 238,426.38, 357,786.99 and 138,633.30 is: 208,035.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,426.38 : 357,786.99 = 138,633.30 : x
  2. Step 2: Convert to fraction form
    238,426.38/357,786.99 = 138,633.30/x
  3. Step 3: Cross multiply
    238,426.38x = 357,786.99 × 138,633.30
  4. Step 4: Simplify right side
    238,426.38x = 49,601,191,120.77
  5. Step 5: Solve for x
    x = 49,601,191,120.77/238,426.38
  6. Step 6: Final answer
    x = 208,035.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.