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Finding the Fourth Proportional to 339,659.30, 509,359.35 and 102,923.30

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Solution

The fourth proportional to 339,659.30, 509,359.35 and 102,923.30 is: 154,345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,659.30 : 509,359.35 = 102,923.30 : x
  2. Step 2: Convert to fraction form
    339,659.30/509,359.35 = 102,923.30/x
  3. Step 3: Cross multiply
    339,659.30x = 509,359.35 × 102,923.30
  4. Step 4: Simplify right side
    339,659.30x = 52,424,945,187.86
  5. Step 5: Solve for x
    x = 52,424,945,187.86/339,659.30
  6. Step 6: Final answer
    x = 154,345.68

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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.