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Finding the Fourth Proportional to 507,964.70, 762,105.84 and 305,782.22

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Solution

The fourth proportional to 507,964.70, 762,105.84 and 305,782.22 is: 458,768.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,964.70 : 762,105.84 = 305,782.22 : x
  2. Step 2: Convert to fraction form
    507,964.70/762,105.84 = 305,782.22/x
  3. Step 3: Cross multiply
    507,964.70x = 762,105.84 × 305,782.22
  4. Step 4: Simplify right side
    507,964.70x = 233,038,415,630.17
  5. Step 5: Solve for x
    x = 233,038,415,630.17/507,964.70
  6. Step 6: Final answer
    x = 458,768.92

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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.