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Finding the Fourth Proportional to 509,507.92, 763,211.16 and 298,505.68

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Solution

The fourth proportional to 509,507.92, 763,211.16 and 298,505.68 is: 447,142.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,507.92 : 763,211.16 = 298,505.68 : x
  2. Step 2: Convert to fraction form
    509,507.92/763,211.16 = 298,505.68/x
  3. Step 3: Cross multiply
    509,507.92x = 763,211.16 × 298,505.68
  4. Step 4: Simplify right side
    509,507.92x = 227,822,866,299.39
  5. Step 5: Solve for x
    x = 227,822,866,299.39/509,507.92
  6. Step 6: Final answer
    x = 447,142.93

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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.