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Finding the Fourth Proportional to 339,496.92, 509,319.18 and 102,858.03

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Solution

The fourth proportional to 339,496.92, 509,319.18 and 102,858.03 is: 154,309.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,496.92 : 509,319.18 = 102,858.03 : x
  2. Step 2: Convert to fraction form
    339,496.92/509,319.18 = 102,858.03/x
  3. Step 3: Cross multiply
    339,496.92x = 509,319.18 × 102,858.03
  4. Step 4: Simplify right side
    339,496.92x = 52,387,567,496.02
  5. Step 5: Solve for x
    x = 52,387,567,496.02/339,496.92
  6. Step 6: Final answer
    x = 154,309.40

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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.