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Finding the Fourth Proportional to 216,809.64, 325,214.82 and 142,399.80

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Solution

The fourth proportional to 216,809.64, 325,214.82 and 142,399.80 is: 213,599.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,809.64 : 325,214.82 = 142,399.80 : x
  2. Step 2: Convert to fraction form
    216,809.64/325,214.82 = 142,399.80/x
  3. Step 3: Cross multiply
    216,809.64x = 325,214.82 × 142,399.80
  4. Step 4: Simplify right side
    216,809.64x = 46,310,525,325.04
  5. Step 5: Solve for x
    x = 46,310,525,325.04/216,809.64
  6. Step 6: Final answer
    x = 213,599.94

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1.5x scale

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.