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Finding the Fourth Proportional to 216,808.64, 325,213.32 and 142,398.80

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Solution

The fourth proportional to 216,808.64, 325,213.32 and 142,398.80 is: 213,598.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,808.64 : 325,213.32 = 142,398.80 : x
  2. Step 2: Convert to fraction form
    216,808.64/325,213.32 = 142,398.80/x
  3. Step 3: Cross multiply
    216,808.64x = 325,213.32 × 142,398.80
  4. Step 4: Simplify right side
    216,808.64x = 46,309,986,512.02
  5. Step 5: Solve for x
    x = 46,309,986,512.02/216,808.64
  6. Step 6: Final answer
    x = 213,598.44

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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.