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Finding the Fourth Proportional to 217,266.40, 325,705.20 and 142,422.40

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Solution

The fourth proportional to 217,266.40, 325,705.20 and 142,422.40 is: 213,506.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,266.40 : 325,705.20 = 142,422.40 : x
  2. Step 2: Convert to fraction form
    217,266.40/325,705.20 = 142,422.40/x
  3. Step 3: Cross multiply
    217,266.40x = 325,705.20 × 142,422.40
  4. Step 4: Simplify right side
    217,266.40x = 46,387,716,276.48
  5. Step 5: Solve for x
    x = 46,387,716,276.48/217,266.40
  6. Step 6: Final answer
    x = 213,506.17

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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.