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Finding the Fourth Proportional to 471,500.38, 650,684.62 and 290,316.86

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Solution

The fourth proportional to 471,500.38, 650,684.62 and 290,316.86 is: 400,645.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,500.38 : 650,684.62 = 290,316.86 : x
  2. Step 2: Convert to fraction form
    471,500.38/650,684.62 = 290,316.86/x
  3. Step 3: Cross multiply
    471,500.38x = 650,684.62 × 290,316.86
  4. Step 4: Simplify right side
    471,500.38x = 188,904,715,728.69
  5. Step 5: Solve for x
    x = 188,904,715,728.69/471,500.38
  6. Step 6: Final answer
    x = 400,645.95

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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.