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Finding the Fourth Proportional to 217,266.10, 325,899.15 and 209,392.90

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Solution

The fourth proportional to 217,266.10, 325,899.15 and 209,392.90 is: 314,089.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,266.10 : 325,899.15 = 209,392.90 : x
  2. Step 2: Convert to fraction form
    217,266.10/325,899.15 = 209,392.90/x
  3. Step 3: Cross multiply
    217,266.10x = 325,899.15 × 209,392.90
  4. Step 4: Simplify right side
    217,266.10x = 68,240,968,126.04
  5. Step 5: Solve for x
    x = 68,240,968,126.04/217,266.10
  6. Step 6: Final answer
    x = 314,089.35

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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.