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Finding the Fourth Proportional to 298,494.75, 447,745.58 and 127,693.23

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Solution

The fourth proportional to 298,494.75, 447,745.58 and 127,693.23 is: 191,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,494.75 : 447,745.58 = 127,693.23 : x
  2. Step 2: Convert to fraction form
    298,494.75/447,745.58 = 127,693.23/x
  3. Step 3: Cross multiply
    298,494.75x = 447,745.58 × 127,693.23
  4. Step 4: Simplify right side
    298,494.75x = 57,174,078,689.96
  5. Step 5: Solve for x
    x = 57,174,078,689.96/298,494.75
  6. Step 6: Final answer
    x = 191,541.32

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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.