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Finding the Fourth Proportional to 264,969.21, 397,444.68 and 75,430.74

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Solution

The fourth proportional to 264,969.21, 397,444.68 and 75,430.74 is: 113,143.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,969.21 : 397,444.68 = 75,430.74 : x
  2. Step 2: Convert to fraction form
    264,969.21/397,444.68 = 75,430.74/x
  3. Step 3: Cross multiply
    264,969.21x = 397,444.68 × 75,430.74
  4. Step 4: Simplify right side
    264,969.21x = 29,979,546,321.46
  5. Step 5: Solve for x
    x = 29,979,546,321.46/264,969.21
  6. Step 6: Final answer
    x = 113,143.51

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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.