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Finding the Fourth Proportional to 458,993.70, 688,491.09 and 143,452.26

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Solution

The fourth proportional to 458,993.70, 688,491.09 and 143,452.26 is: 215,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,993.70 : 688,491.09 = 143,452.26 : x
  2. Step 2: Convert to fraction form
    458,993.70/688,491.09 = 143,452.26/x
  3. Step 3: Cross multiply
    458,993.70x = 688,491.09 × 143,452.26
  4. Step 4: Simplify right side
    458,993.70x = 98,765,602,850.36
  5. Step 5: Solve for x
    x = 98,765,602,850.36/458,993.70
  6. Step 6: Final answer
    x = 215,178.56

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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.