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Finding the Fourth Proportional to 289,659.38, 434,489.67 and 123,447.38

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Solution

The fourth proportional to 289,659.38, 434,489.67 and 123,447.38 is: 185,171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,659.38 : 434,489.67 = 123,447.38 : x
  2. Step 2: Convert to fraction form
    289,659.38/434,489.67 = 123,447.38/x
  3. Step 3: Cross multiply
    289,659.38x = 434,489.67 × 123,447.38
  4. Step 4: Simplify right side
    289,659.38x = 53,636,609,226.12
  5. Step 5: Solve for x
    x = 53,636,609,226.12/289,659.38
  6. Step 6: Final answer
    x = 185,171.32

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1.5x scale

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.