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Finding the Fourth Proportional to 521,563.50, 719,757.63 and 283,099.50

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Solution

The fourth proportional to 521,563.50, 719,757.63 and 283,099.50 is: 390,677.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,563.50 : 719,757.63 = 283,099.50 : x
  2. Step 2: Convert to fraction form
    521,563.50/719,757.63 = 283,099.50/x
  3. Step 3: Cross multiply
    521,563.50x = 719,757.63 × 283,099.50
  4. Step 4: Simplify right side
    521,563.50x = 203,763,025,174.19
  5. Step 5: Solve for x
    x = 203,763,025,174.19/521,563.50
  6. Step 6: Final answer
    x = 390,677.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.