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Finding the Fourth Proportional to 458,314.22, 687,511.34 and 188,458.79

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Solution

The fourth proportional to 458,314.22, 687,511.34 and 188,458.79 is: 282,704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,314.22 : 687,511.34 = 188,458.79 : x
  2. Step 2: Convert to fraction form
    458,314.22/687,511.34 = 188,458.79/x
  3. Step 3: Cross multiply
    458,314.22x = 687,511.34 × 188,458.79
  4. Step 4: Simplify right side
    458,314.22x = 129,567,554,305.39
  5. Step 5: Solve for x
    x = 129,567,554,305.39/458,314.22
  6. Step 6: Final answer
    x = 282,704.64

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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.