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Finding the Fourth Proportional to 513,482.28, 769,998.72 and 243,687.74

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Solution

The fourth proportional to 513,482.28, 769,998.72 and 243,687.74 is: 365,424.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,482.28 : 769,998.72 = 243,687.74 : x
  2. Step 2: Convert to fraction form
    513,482.28/769,998.72 = 243,687.74/x
  3. Step 3: Cross multiply
    513,482.28x = 769,998.72 × 243,687.74
  4. Step 4: Simplify right side
    513,482.28x = 187,639,244,029.70
  5. Step 5: Solve for x
    x = 187,639,244,029.70/513,482.28
  6. Step 6: Final answer
    x = 365,424.96

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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.