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Finding the Fourth Proportional to 436,580.22, 654,978.45 and 209,048.97

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Solution

The fourth proportional to 436,580.22, 654,978.45 and 209,048.97 is: 313,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,580.22 : 654,978.45 = 209,048.97 : x
  2. Step 2: Convert to fraction form
    436,580.22/654,978.45 = 209,048.97/x
  3. Step 3: Cross multiply
    436,580.22x = 654,978.45 × 209,048.97
  4. Step 4: Simplify right side
    436,580.22x = 136,922,566,767.98
  5. Step 5: Solve for x
    x = 136,922,566,767.98/436,580.22
  6. Step 6: Final answer
    x = 313,625.22

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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.