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Finding the Fourth Proportional to 339,516.70, 509,327.88 and 102,803.02

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Solution

The fourth proportional to 339,516.70, 509,327.88 and 102,803.02 is: 154,220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,516.70 : 509,327.88 = 102,803.02 : x
  2. Step 2: Convert to fraction form
    339,516.70/509,327.88 = 102,803.02/x
  3. Step 3: Cross multiply
    339,516.70x = 509,327.88 × 102,803.02
  4. Step 4: Simplify right side
    339,516.70x = 52,360,444,234.20
  5. Step 5: Solve for x
    x = 52,360,444,234.20/339,516.70
  6. Step 6: Final answer
    x = 154,220.53

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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.