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Finding the Fourth Proportional to 507,959.70, 762,098.34 and 305,777.22

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Solution

The fourth proportional to 507,959.70, 762,098.34 and 305,777.22 is: 458,761.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,959.70 : 762,098.34 = 305,777.22 : x
  2. Step 2: Convert to fraction form
    507,959.70/762,098.34 = 305,777.22/x
  3. Step 3: Cross multiply
    507,959.70x = 762,098.34 × 305,777.22
  4. Step 4: Simplify right side
    507,959.70x = 233,032,311,771.82
  5. Step 5: Solve for x
    x = 233,032,311,771.82/507,959.70
  6. Step 6: Final answer
    x = 458,761.42

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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.