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Finding the Fourth Proportional to 540,174.30, 809,766.09 and 207,499.74

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Solution

The fourth proportional to 540,174.30, 809,766.09 and 207,499.74 is: 311,059.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,174.30 : 809,766.09 = 207,499.74 : x
  2. Step 2: Convert to fraction form
    540,174.30/809,766.09 = 207,499.74/x
  3. Step 3: Cross multiply
    540,174.30x = 809,766.09 × 207,499.74
  4. Step 4: Simplify right side
    540,174.30x = 168,026,253,135.82
  5. Step 5: Solve for x
    x = 168,026,253,135.82/540,174.30
  6. Step 6: Final answer
    x = 311,059.32

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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.