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Finding the Fourth Proportional to 641,538.74, 961,245.51 and 451,068.54

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Solution

The fourth proportional to 641,538.74, 961,245.51 and 451,068.54 is: 675,855.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,538.74 : 961,245.51 = 451,068.54 : x
  2. Step 2: Convert to fraction form
    641,538.74/961,245.51 = 451,068.54/x
  3. Step 3: Cross multiply
    641,538.74x = 961,245.51 × 451,068.54
  4. Step 4: Simplify right side
    641,538.74x = 433,587,608,777.26
  5. Step 5: Solve for x
    x = 433,587,608,777.26/641,538.74
  6. Step 6: Final answer
    x = 675,855.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.