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Finding the Fourth Proportional to 458,496.40, 687,744.60 and 142,950.80

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Solution

The fourth proportional to 458,496.40, 687,744.60 and 142,950.80 is: 214,426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,496.40 : 687,744.60 = 142,950.80 : x
  2. Step 2: Convert to fraction form
    458,496.40/687,744.60 = 142,950.80/x
  3. Step 3: Cross multiply
    458,496.40x = 687,744.60 × 142,950.80
  4. Step 4: Simplify right side
    458,496.40x = 98,313,640,765.68
  5. Step 5: Solve for x
    x = 98,313,640,765.68/458,496.40
  6. Step 6: Final answer
    x = 214,426.20

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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.