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Finding the Fourth Proportional to 509,508.92, 763,212.66 and 298,506.68

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Solution

The fourth proportional to 509,508.92, 763,212.66 and 298,506.68 is: 447,144.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,508.92 : 763,212.66 = 298,506.68 : x
  2. Step 2: Convert to fraction form
    509,508.92/763,212.66 = 298,506.68/x
  3. Step 3: Cross multiply
    509,508.92x = 763,212.66 × 298,506.68
  4. Step 4: Simplify right side
    509,508.92x = 227,824,077,270.57
  5. Step 5: Solve for x
    x = 227,824,077,270.57/509,508.92
  6. Step 6: Final answer
    x = 447,144.43

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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.