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Finding the Fourth Proportional to 536,059.16, 739,761.64 and 309,704.66

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Solution

The fourth proportional to 536,059.16, 739,761.64 and 309,704.66 is: 427,392.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,059.16 : 739,761.64 = 309,704.66 : x
  2. Step 2: Convert to fraction form
    536,059.16/739,761.64 = 309,704.66/x
  3. Step 3: Cross multiply
    536,059.16x = 739,761.64 × 309,704.66
  4. Step 4: Simplify right side
    536,059.16x = 229,107,627,197.24
  5. Step 5: Solve for x
    x = 229,107,627,197.24/536,059.16
  6. Step 6: Final answer
    x = 427,392.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.