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Finding the Fourth Proportional to 270,436, 405,567.72 and 92,900.20

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Solution

The fourth proportional to 270,436, 405,567.72 and 92,900.20 is: 139,320.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,436 : 405,567.72 = 92,900.20 : x
  2. Step 2: Convert to fraction form
    270,436/405,567.72 = 92,900.20/x
  3. Step 3: Cross multiply
    270,436x = 405,567.72 × 92,900.20
  4. Step 4: Simplify right side
    270,436x = 37,677,322,301.54
  5. Step 5: Solve for x
    x = 37,677,322,301.54/270,436
  6. Step 6: Final answer
    x = 139,320.66

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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.