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Finding the Fourth Proportional to 339,722.88, 509,584.32 and 152,515.68

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Solution

The fourth proportional to 339,722.88, 509,584.32 and 152,515.68 is: 228,773.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,722.88 : 509,584.32 = 152,515.68 : x
  2. Step 2: Convert to fraction form
    339,722.88/509,584.32 = 152,515.68/x
  3. Step 3: Cross multiply
    339,722.88x = 509,584.32 × 152,515.68
  4. Step 4: Simplify right side
    339,722.88x = 77,719,599,082.14
  5. Step 5: Solve for x
    x = 77,719,599,082.14/339,722.88
  6. Step 6: Final answer
    x = 228,773.52

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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.