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Finding the Fourth Proportional to 543,134.94, 749,352.82 and 313,661.91

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Solution

The fourth proportional to 543,134.94, 749,352.82 and 313,661.91 is: 432,753.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,134.94 : 749,352.82 = 313,661.91 : x
  2. Step 2: Convert to fraction form
    543,134.94/749,352.82 = 313,661.91/x
  3. Step 3: Cross multiply
    543,134.94x = 749,352.82 × 313,661.91
  4. Step 4: Simplify right side
    543,134.94x = 235,043,436,785.09
  5. Step 5: Solve for x
    x = 235,043,436,785.09/543,134.94
  6. Step 6: Final answer
    x = 432,753.30

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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.