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Finding the Fourth Proportional to 543,221.02, 749,631 and 301,496.50

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Solution

The fourth proportional to 543,221.02, 749,631 and 301,496.50 is: 416,057.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,221.02 : 749,631 = 301,496.50 : x
  2. Step 2: Convert to fraction form
    543,221.02/749,631 = 301,496.50/x
  3. Step 3: Cross multiply
    543,221.02x = 749,631 × 301,496.50
  4. Step 4: Simplify right side
    543,221.02x = 226,011,122,791.50
  5. Step 5: Solve for x
    x = 226,011,122,791.50/543,221.02
  6. Step 6: Final answer
    x = 416,057.40

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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.