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Finding the Fourth Proportional to 504,517.76, 756,854.40 and 172,016

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Solution

The fourth proportional to 504,517.76, 756,854.40 and 172,016 is: 258,050.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,517.76 : 756,854.40 = 172,016 : x
  2. Step 2: Convert to fraction form
    504,517.76/756,854.40 = 172,016/x
  3. Step 3: Cross multiply
    504,517.76x = 756,854.40 × 172,016
  4. Step 4: Simplify right side
    504,517.76x = 130,191,066,470.40
  5. Step 5: Solve for x
    x = 130,191,066,470.40/504,517.76
  6. Step 6: Final answer
    x = 258,050.51

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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.