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Finding the Fourth Proportional to 509,048.81, 762,691.20 and 308,949.92

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Solution

The fourth proportional to 509,048.81, 762,691.20 and 308,949.92 is: 462,889.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,048.81 : 762,691.20 = 308,949.92 : x
  2. Step 2: Convert to fraction form
    509,048.81/762,691.20 = 308,949.92/x
  3. Step 3: Cross multiply
    509,048.81x = 762,691.20 × 308,949.92
  4. Step 4: Simplify right side
    509,048.81x = 235,633,381,411.25
  5. Step 5: Solve for x
    x = 235,633,381,411.25/509,048.81
  6. Step 6: Final answer
    x = 462,889.57

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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.