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Finding the Fourth Proportional to 543,107.63, 749,496.68 and 301,405.86

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Solution

The fourth proportional to 543,107.63, 749,496.68 and 301,405.86 is: 415,944.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,107.63 : 749,496.68 = 301,405.86 : x
  2. Step 2: Convert to fraction form
    543,107.63/749,496.68 = 301,405.86/x
  3. Step 3: Cross multiply
    543,107.63x = 749,496.68 × 301,405.86
  4. Step 4: Simplify right side
    543,107.63x = 225,902,686,148.03
  5. Step 5: Solve for x
    x = 225,902,686,148.03/543,107.63
  6. Step 6: Final answer
    x = 415,944.60

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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.