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Finding the Fourth Proportional to 687,261, 948,834.90 and 449,211.72

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Solution

The fourth proportional to 687,261, 948,834.90 and 449,211.72 is: 620,183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,261 : 948,834.90 = 449,211.72 : x
  2. Step 2: Convert to fraction form
    687,261/948,834.90 = 449,211.72/x
  3. Step 3: Cross multiply
    687,261x = 948,834.90 × 449,211.72
  4. Step 4: Simplify right side
    687,261x = 426,227,757,425.03
  5. Step 5: Solve for x
    x = 426,227,757,425.03/687,261
  6. Step 6: Final answer
    x = 620,183.25

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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.