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Finding the Fourth Proportional to 540,460.56, 810,806.76 and 161,411.16

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Solution

The fourth proportional to 540,460.56, 810,806.76 and 161,411.16 is: 242,151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,460.56 : 810,806.76 = 161,411.16 : x
  2. Step 2: Convert to fraction form
    540,460.56/810,806.76 = 161,411.16/x
  3. Step 3: Cross multiply
    540,460.56x = 810,806.76 × 161,411.16
  4. Step 4: Simplify right side
    540,460.56x = 130,873,259,667.44
  5. Step 5: Solve for x
    x = 130,873,259,667.44/540,460.56
  6. Step 6: Final answer
    x = 242,151.36

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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.