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Finding the Fourth Proportional to 217,821.80, 325,857.90 and 188,564.60

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Solution

The fourth proportional to 217,821.80, 325,857.90 and 188,564.60 is: 282,089.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,821.80 : 325,857.90 = 188,564.60 : x
  2. Step 2: Convert to fraction form
    217,821.80/325,857.90 = 188,564.60/x
  3. Step 3: Cross multiply
    217,821.80x = 325,857.90 × 188,564.60
  4. Step 4: Simplify right side
    217,821.80x = 61,445,264,570.34
  5. Step 5: Solve for x
    x = 61,445,264,570.34/217,821.80
  6. Step 6: Final answer
    x = 282,089.60

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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.