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Finding the Fourth Proportional to 217,055.20, 325,582.80 and 142,405.60

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Solution

The fourth proportional to 217,055.20, 325,582.80 and 142,405.60 is: 213,608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,055.20 : 325,582.80 = 142,405.60 : x
  2. Step 2: Convert to fraction form
    217,055.20/325,582.80 = 142,405.60/x
  3. Step 3: Cross multiply
    217,055.20x = 325,582.80 × 142,405.60
  4. Step 4: Simplify right side
    217,055.20x = 46,364,813,983.68
  5. Step 5: Solve for x
    x = 46,364,813,983.68/217,055.20
  6. Step 6: Final answer
    x = 213,608.40

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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.