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Finding the Fourth Proportional to 431,941.71, 648,109.49 and 221,727.39

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Solution

The fourth proportional to 431,941.71, 648,109.49 and 221,727.39 is: 332,692.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,941.71 : 648,109.49 = 221,727.39 : x
  2. Step 2: Convert to fraction form
    431,941.71/648,109.49 = 221,727.39/x
  3. Step 3: Cross multiply
    431,941.71x = 648,109.49 × 221,727.39
  4. Step 4: Simplify right side
    431,941.71x = 143,703,625,651.93
  5. Step 5: Solve for x
    x = 143,703,625,651.93/431,941.71
  6. Step 6: Final answer
    x = 332,692.17

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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.