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Finding the Fourth Proportional to 339,530.88, 509,121.12 and 152,382.24

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Solution

The fourth proportional to 339,530.88, 509,121.12 and 152,382.24 is: 228,494.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,530.88 : 509,121.12 = 152,382.24 : x
  2. Step 2: Convert to fraction form
    339,530.88/509,121.12 = 152,382.24/x
  3. Step 3: Cross multiply
    339,530.88x = 509,121.12 × 152,382.24
  4. Step 4: Simplify right side
    339,530.88x = 77,581,016,696.91
  5. Step 5: Solve for x
    x = 77,581,016,696.91/339,530.88
  6. Step 6: Final answer
    x = 228,494.73

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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.