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Finding the Fourth Proportional to 431,228.48, 646,967.52 and 178,462.31

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Solution

The fourth proportional to 431,228.48, 646,967.52 and 178,462.31 is: 267,745.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,228.48 : 646,967.52 = 178,462.31 : x
  2. Step 2: Convert to fraction form
    431,228.48/646,967.52 = 178,462.31/x
  3. Step 3: Cross multiply
    431,228.48x = 646,967.52 × 178,462.31
  4. Step 4: Simplify right side
    431,228.48x = 115,459,314,879.33
  5. Step 5: Solve for x
    x = 115,459,314,879.33/431,228.48
  6. Step 6: Final answer
    x = 267,745.11

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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.