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Finding the Fourth Proportional to 509,433.68, 763,100.40 and 298,431.92

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Solution

The fourth proportional to 509,433.68, 763,100.40 and 298,431.92 is: 447,032.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,433.68 : 763,100.40 = 298,431.92 : x
  2. Step 2: Convert to fraction form
    509,433.68/763,100.40 = 298,431.92/x
  3. Step 3: Cross multiply
    509,433.68x = 763,100.40 × 298,431.92
  4. Step 4: Simplify right side
    509,433.68x = 227,733,517,524.77
  5. Step 5: Solve for x
    x = 227,733,517,524.77/509,433.68
  6. Step 6: Final answer
    x = 447,032.71

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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.