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Finding the Fourth Proportional to 687,969.45, 949,847.49 and 446,938.97

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Solution

The fourth proportional to 687,969.45, 949,847.49 and 446,938.97 is: 617,067.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,969.45 : 949,847.49 = 446,938.97 : x
  2. Step 2: Convert to fraction form
    687,969.45/949,847.49 = 446,938.97/x
  3. Step 3: Cross multiply
    687,969.45x = 949,847.49 × 446,938.97
  4. Step 4: Simplify right side
    687,969.45x = 424,523,854,088.45
  5. Step 5: Solve for x
    x = 424,523,854,088.45/687,969.45
  6. Step 6: Final answer
    x = 617,067.89

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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.