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Finding the Fourth Proportional to 539,424, 809,174.88 and 207,000

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Solution

The fourth proportional to 539,424, 809,174.88 and 207,000 is: 310,514.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,424 : 809,174.88 = 207,000 : x
  2. Step 2: Convert to fraction form
    539,424/809,174.88 = 207,000/x
  3. Step 3: Cross multiply
    539,424x = 809,174.88 × 207,000
  4. Step 4: Simplify right side
    539,424x = 167,499,200,160
  5. Step 5: Solve for x
    x = 167,499,200,160/539,424
  6. Step 6: Final answer
    x = 310,514.92

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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.