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Finding the Fourth Proportional to 540,165.94, 810,231.48 and 161,089.78

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Solution

The fourth proportional to 540,165.94, 810,231.48 and 161,089.78 is: 241,629.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,165.94 : 810,231.48 = 161,089.78 : x
  2. Step 2: Convert to fraction form
    540,165.94/810,231.48 = 161,089.78/x
  3. Step 3: Cross multiply
    540,165.94x = 810,231.48 × 161,089.78
  4. Step 4: Simplify right side
    540,165.94x = 130,520,010,862.27
  5. Step 5: Solve for x
    x = 130,520,010,862.27/540,165.94
  6. Step 6: Final answer
    x = 241,629.47

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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.