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Finding the Fourth Proportional to 540,187.76, 810,322.64 and 161,078.82

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Solution

The fourth proportional to 540,187.76, 810,322.64 and 161,078.82 is: 241,630.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,187.76 : 810,322.64 = 161,078.82 : x
  2. Step 2: Convert to fraction form
    540,187.76/810,322.64 = 161,078.82/x
  3. Step 3: Cross multiply
    540,187.76x = 810,322.64 × 161,078.82
  4. Step 4: Simplify right side
    540,187.76x = 130,525,813,865.09
  5. Step 5: Solve for x
    x = 130,525,813,865.09/540,187.76
  6. Step 6: Final answer
    x = 241,630.46

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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.