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Finding the Fourth Proportional to 516,713.20, 774,651.54 and 161,544.40

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Solution

The fourth proportional to 516,713.20, 774,651.54 and 161,544.40 is: 242,185.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,713.20 : 774,651.54 = 161,544.40 : x
  2. Step 2: Convert to fraction form
    516,713.20/774,651.54 = 161,544.40/x
  3. Step 3: Cross multiply
    516,713.20x = 774,651.54 × 161,544.40
  4. Step 4: Simplify right side
    516,713.20x = 125,140,618,238.38
  5. Step 5: Solve for x
    x = 125,140,618,238.38/516,713.20
  6. Step 6: Final answer
    x = 242,185.84

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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.