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Finding the Fourth Proportional to 422,726.58, 633,756.36 and 209,567.88

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Solution

The fourth proportional to 422,726.58, 633,756.36 and 209,567.88 is: 314,186.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,726.58 : 633,756.36 = 209,567.88 : x
  2. Step 2: Convert to fraction form
    422,726.58/633,756.36 = 209,567.88/x
  3. Step 3: Cross multiply
    422,726.58x = 633,756.36 × 209,567.88
  4. Step 4: Simplify right side
    422,726.58x = 132,814,976,801.72
  5. Step 5: Solve for x
    x = 132,814,976,801.72/422,726.58
  6. Step 6: Final answer
    x = 314,186.48

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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.