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Finding the Fourth Proportional to 332,168.40, 498,317.40 and 142,628.40

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Solution

The fourth proportional to 332,168.40, 498,317.40 and 142,628.40 is: 213,970.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,168.40 : 498,317.40 = 142,628.40 : x
  2. Step 2: Convert to fraction form
    332,168.40/498,317.40 = 142,628.40/x
  3. Step 3: Cross multiply
    332,168.40x = 498,317.40 × 142,628.40
  4. Step 4: Simplify right side
    332,168.40x = 71,074,213,454.16
  5. Step 5: Solve for x
    x = 71,074,213,454.16/332,168.40
  6. Step 6: Final answer
    x = 213,970.42

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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.