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Finding the Fourth Proportional to 687,744.85, 949,069.41 and 412,258.32

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Solution

The fourth proportional to 687,744.85, 949,069.41 and 412,258.32 is: 568,905.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,744.85 : 949,069.41 = 412,258.32 : x
  2. Step 2: Convert to fraction form
    687,744.85/949,069.41 = 412,258.32/x
  3. Step 3: Cross multiply
    687,744.85x = 949,069.41 × 412,258.32
  4. Step 4: Simplify right side
    687,744.85x = 391,261,760,529.99
  5. Step 5: Solve for x
    x = 391,261,760,529.99/687,744.85
  6. Step 6: Final answer
    x = 568,905.40

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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.