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Finding the Fourth Proportional to 540,054.20, 810,071.28 and 161,231.78

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Solution

The fourth proportional to 540,054.20, 810,071.28 and 161,231.78 is: 241,844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,054.20 : 810,071.28 = 161,231.78 : x
  2. Step 2: Convert to fraction form
    540,054.20/810,071.28 = 161,231.78/x
  3. Step 3: Cross multiply
    540,054.20x = 810,071.28 × 161,231.78
  4. Step 4: Simplify right side
    540,054.20x = 130,609,236,426.46
  5. Step 5: Solve for x
    x = 130,609,236,426.46/540,054.20
  6. Step 6: Final answer
    x = 241,844.68

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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.