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Finding the Fourth Proportional to 217,538, 326,307 and 77,302.16

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Solution

The fourth proportional to 217,538, 326,307 and 77,302.16 is: 115,953.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,538 : 326,307 = 77,302.16 : x
  2. Step 2: Convert to fraction form
    217,538/326,307 = 77,302.16/x
  3. Step 3: Cross multiply
    217,538x = 326,307 × 77,302.16
  4. Step 4: Simplify right side
    217,538x = 25,224,235,923.12
  5. Step 5: Solve for x
    x = 25,224,235,923.12/217,538
  6. Step 6: Final answer
    x = 115,953.24

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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.