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Finding the Fourth Proportional to 339,560.51, 509,384.50 and 102,861.50

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Solution

The fourth proportional to 339,560.51, 509,384.50 and 102,861.50 is: 154,305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,560.51 : 509,384.50 = 102,861.50 : x
  2. Step 2: Convert to fraction form
    339,560.51/509,384.50 = 102,861.50/x
  3. Step 3: Cross multiply
    339,560.51x = 509,384.50 × 102,861.50
  4. Step 4: Simplify right side
    339,560.51x = 52,396,050,942.67
  5. Step 5: Solve for x
    x = 52,396,050,942.67/339,560.51
  6. Step 6: Final answer
    x = 154,305.49

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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.