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Finding the Fourth Proportional to 648,894, 973,341 and 205,662

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Solution

The fourth proportional to 648,894, 973,341 and 205,662 is: 308,493

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,894 : 973,341 = 205,662 : x
  2. Step 2: Convert to fraction form
    648,894/973,341 = 205,662/x
  3. Step 3: Cross multiply
    648,894x = 973,341 × 205,662
  4. Step 4: Simplify right side
    648,894x = 200,179,256,742
  5. Step 5: Solve for x
    x = 200,179,256,742/648,894
  6. Step 6: Final answer
    x = 308,493

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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.