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Finding the Fourth Proportional to 289,473.72, 434,358.90 and 137,842.52

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Solution

The fourth proportional to 289,473.72, 434,358.90 and 137,842.52 is: 206,834.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,473.72 : 434,358.90 = 137,842.52 : x
  2. Step 2: Convert to fraction form
    289,473.72/434,358.90 = 137,842.52/x
  3. Step 3: Cross multiply
    289,473.72x = 434,358.90 × 137,842.52
  4. Step 4: Simplify right side
    289,473.72x = 59,873,125,360.43
  5. Step 5: Solve for x
    x = 59,873,125,360.43/289,473.72
  6. Step 6: Final answer
    x = 206,834.41

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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.