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Finding the Fourth Proportional to 540,165.78, 809,814.48 and 371,185.42

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Solution

The fourth proportional to 540,165.78, 809,814.48 and 371,185.42 is: 556,479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,165.78 : 809,814.48 = 371,185.42 : x
  2. Step 2: Convert to fraction form
    540,165.78/809,814.48 = 371,185.42/x
  3. Step 3: Cross multiply
    540,165.78x = 809,814.48 × 371,185.42
  4. Step 4: Simplify right side
    540,165.78x = 300,591,327,880.88
  5. Step 5: Solve for x
    x = 300,591,327,880.88/540,165.78
  6. Step 6: Final answer
    x = 556,479.77

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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.