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Finding the Fourth Proportional to 326,456.22, 450,392.86 and 205,605.02

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Solution

The fourth proportional to 326,456.22, 450,392.86 and 205,605.02 is: 283,661.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,456.22 : 450,392.86 = 205,605.02 : x
  2. Step 2: Convert to fraction form
    326,456.22/450,392.86 = 205,605.02/x
  3. Step 3: Cross multiply
    326,456.22x = 450,392.86 × 205,605.02
  4. Step 4: Simplify right side
    326,456.22x = 92,603,032,988.16
  5. Step 5: Solve for x
    x = 92,603,032,988.16/326,456.22
  6. Step 6: Final answer
    x = 283,661.41

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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.