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Finding the Fourth Proportional to 507,960.70, 762,099.84 and 305,778.22

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Solution

The fourth proportional to 507,960.70, 762,099.84 and 305,778.22 is: 458,762.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,960.70 : 762,099.84 = 305,778.22 : x
  2. Step 2: Convert to fraction form
    507,960.70/762,099.84 = 305,778.22/x
  3. Step 3: Cross multiply
    507,960.70x = 762,099.84 × 305,778.22
  4. Step 4: Simplify right side
    507,960.70x = 233,033,532,537.49
  5. Step 5: Solve for x
    x = 233,033,532,537.49/507,960.70
  6. Step 6: Final answer
    x = 458,762.92

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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.