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Finding the Fourth Proportional to 516,422.34, 774,720.96 and 161,366.52

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Solution

The fourth proportional to 516,422.34, 774,720.96 and 161,366.52 is: 242,077.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,422.34 : 774,720.96 = 161,366.52 : x
  2. Step 2: Convert to fraction form
    516,422.34/774,720.96 = 161,366.52/x
  3. Step 3: Cross multiply
    516,422.34x = 774,720.96 × 161,366.52
  4. Step 4: Simplify right side
    516,422.34x = 125,014,025,286.26
  5. Step 5: Solve for x
    x = 125,014,025,286.26/516,422.34
  6. Step 6: Final answer
    x = 242,077.11

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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.