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Finding the Fourth Proportional to 339,855.84, 509,750.76 and 103,200.56

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Solution

The fourth proportional to 339,855.84, 509,750.76 and 103,200.56 is: 154,790.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,855.84 : 509,750.76 = 103,200.56 : x
  2. Step 2: Convert to fraction form
    339,855.84/509,750.76 = 103,200.56/x
  3. Step 3: Cross multiply
    339,855.84x = 509,750.76 × 103,200.56
  4. Step 4: Simplify right side
    339,855.84x = 52,606,563,892.43
  5. Step 5: Solve for x
    x = 52,606,563,892.43/339,855.84
  6. Step 6: Final answer
    x = 154,790.82

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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.