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Finding the Fourth Proportional to 217,290.40, 325,998.47 and 90,865.40

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Solution

The fourth proportional to 217,290.40, 325,998.47 and 90,865.40 is: 136,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,290.40 : 325,998.47 = 90,865.40 : x
  2. Step 2: Convert to fraction form
    217,290.40/325,998.47 = 90,865.40/x
  3. Step 3: Cross multiply
    217,290.40x = 325,998.47 × 90,865.40
  4. Step 4: Simplify right side
    217,290.40x = 29,621,979,973.11
  5. Step 5: Solve for x
    x = 29,621,979,973.11/217,290.40
  6. Step 6: Final answer
    x = 136,324.39

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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.