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Finding the Fourth Proportional to 516,828.32, 775,242.48 and 161,870.12

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Solution

The fourth proportional to 516,828.32, 775,242.48 and 161,870.12 is: 242,805.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,828.32 : 775,242.48 = 161,870.12 : x
  2. Step 2: Convert to fraction form
    516,828.32/775,242.48 = 161,870.12/x
  3. Step 3: Cross multiply
    516,828.32x = 775,242.48 × 161,870.12
  4. Step 4: Simplify right side
    516,828.32x = 125,488,589,390.49
  5. Step 5: Solve for x
    x = 125,488,589,390.49/516,828.32
  6. Step 6: Final answer
    x = 242,805.17

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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.