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Finding the Fourth Proportional to 267,442.47, 401,225.81 and 77,907.33

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Solution

The fourth proportional to 267,442.47, 401,225.81 and 77,907.33 is: 116,879.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,442.47 : 401,225.81 = 77,907.33 : x
  2. Step 2: Convert to fraction form
    267,442.47/401,225.81 = 77,907.33/x
  3. Step 3: Cross multiply
    267,442.47x = 401,225.81 × 77,907.33
  4. Step 4: Simplify right side
    267,442.47x = 31,258,431,194.65
  5. Step 5: Solve for x
    x = 31,258,431,194.65/267,442.47
  6. Step 6: Final answer
    x = 116,879.09

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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.