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Finding the Fourth Proportional to 458,511.40, 687,836.22 and 142,993

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Solution

The fourth proportional to 458,511.40, 687,836.22 and 142,993 is: 214,511.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,511.40 : 687,836.22 = 142,993 : x
  2. Step 2: Convert to fraction form
    458,511.40/687,836.22 = 142,993/x
  3. Step 3: Cross multiply
    458,511.40x = 687,836.22 × 142,993
  4. Step 4: Simplify right side
    458,511.40x = 98,355,764,606.46
  5. Step 5: Solve for x
    x = 98,355,764,606.46/458,511.40
  6. Step 6: Final answer
    x = 214,511.06

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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.