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Finding the Fourth Proportional to 540,115.22, 809,646.28 and 215,806.64

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Solution

The fourth proportional to 540,115.22, 809,646.28 and 215,806.64 is: 323,499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,115.22 : 809,646.28 = 215,806.64 : x
  2. Step 2: Convert to fraction form
    540,115.22/809,646.28 = 215,806.64/x
  3. Step 3: Cross multiply
    540,115.22x = 809,646.28 × 215,806.64
  4. Step 4: Simplify right side
    540,115.22x = 174,727,038,687.55
  5. Step 5: Solve for x
    x = 174,727,038,687.55/540,115.22
  6. Step 6: Final answer
    x = 323,499.56

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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.