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Finding the Fourth Proportional to 521,352.37, 782,112.94 and 161,438.64

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Solution

The fourth proportional to 521,352.37, 782,112.94 and 161,438.64 is: 242,184.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,352.37 : 782,112.94 = 161,438.64 : x
  2. Step 2: Convert to fraction form
    521,352.37/782,112.94 = 161,438.64/x
  3. Step 3: Cross multiply
    521,352.37x = 782,112.94 × 161,438.64
  4. Step 4: Simplify right side
    521,352.37x = 126,263,246,023.48
  5. Step 5: Solve for x
    x = 126,263,246,023.48/521,352.37
  6. Step 6: Final answer
    x = 242,184.08

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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.