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Finding the Fourth Proportional to 380,633.85, 570,538.76 and 247,609.17

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Solution

The fourth proportional to 380,633.85, 570,538.76 and 247,609.17 is: 371,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,633.85 : 570,538.76 = 247,609.17 : x
  2. Step 2: Convert to fraction form
    380,633.85/570,538.76 = 247,609.17/x
  3. Step 3: Cross multiply
    380,633.85x = 570,538.76 × 247,609.17
  4. Step 4: Simplify right side
    380,633.85x = 141,270,627,578.38
  5. Step 5: Solve for x
    x = 141,270,627,578.38/380,633.85
  6. Step 6: Final answer
    x = 371,145.73

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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.