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Finding the Fourth Proportional to 516,928.88, 775,392.51 and 161,970.14

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Solution

The fourth proportional to 516,928.88, 775,392.51 and 161,970.14 is: 242,954.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,928.88 : 775,392.51 = 161,970.14 : x
  2. Step 2: Convert to fraction form
    516,928.88/775,392.51 = 161,970.14/x
  3. Step 3: Cross multiply
    516,928.88x = 775,392.51 × 161,970.14
  4. Step 4: Simplify right side
    516,928.88x = 125,590,433,399.65
  5. Step 5: Solve for x
    x = 125,590,433,399.65/516,928.88
  6. Step 6: Final answer
    x = 242,954.96

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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.