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Finding the Fourth Proportional to 543,051.90, 749,375.60 and 301,319.14

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Solution

The fourth proportional to 543,051.90, 749,375.60 and 301,319.14 is: 415,800.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,051.90 : 749,375.60 = 301,319.14 : x
  2. Step 2: Convert to fraction form
    543,051.90/749,375.60 = 301,319.14/x
  3. Step 3: Cross multiply
    543,051.90x = 749,375.60 × 301,319.14
  4. Step 4: Simplify right side
    543,051.90x = 225,801,211,328.98
  5. Step 5: Solve for x
    x = 225,801,211,328.98/543,051.90
  6. Step 6: Final answer
    x = 415,800.43

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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.