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Finding the Fourth Proportional to 543,267.78, 749,708.25 and 301,553.25

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Solution

The fourth proportional to 543,267.78, 749,708.25 and 301,553.25 is: 416,142.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,267.78 : 749,708.25 = 301,553.25 : x
  2. Step 2: Convert to fraction form
    543,267.78/749,708.25 = 301,553.25/x
  3. Step 3: Cross multiply
    543,267.78x = 749,708.25 × 301,553.25
  4. Step 4: Simplify right side
    543,267.78x = 226,076,959,339.31
  5. Step 5: Solve for x
    x = 226,076,959,339.31/543,267.78
  6. Step 6: Final answer
    x = 416,142.77

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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.