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Finding the Fourth Proportional to 539,425, 809,176.38 and 207,001

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Solution

The fourth proportional to 539,425, 809,176.38 and 207,001 is: 310,516.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,425 : 809,176.38 = 207,001 : x
  2. Step 2: Convert to fraction form
    539,425/809,176.38 = 207,001/x
  3. Step 3: Cross multiply
    539,425x = 809,176.38 × 207,001
  4. Step 4: Simplify right side
    539,425x = 167,500,319,836.38
  5. Step 5: Solve for x
    x = 167,500,319,836.38/539,425
  6. Step 6: Final answer
    x = 310,516.42

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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.