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Finding the Fourth Proportional to 216,628.80, 324,894.60 and 142,270.80

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Solution

The fourth proportional to 216,628.80, 324,894.60 and 142,270.80 is: 213,374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,628.80 : 324,894.60 = 142,270.80 : x
  2. Step 2: Convert to fraction form
    216,628.80/324,894.60 = 142,270.80/x
  3. Step 3: Cross multiply
    216,628.80x = 324,894.60 × 142,270.80
  4. Step 4: Simplify right side
    216,628.80x = 46,223,014,657.68
  5. Step 5: Solve for x
    x = 46,223,014,657.68/216,628.80
  6. Step 6: Final answer
    x = 213,374.28

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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.