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Finding the Fourth Proportional to 698,729, 964,246.02 and 380,777

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Solution

The fourth proportional to 698,729, 964,246.02 and 380,777 is: 525,472.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,729 : 964,246.02 = 380,777 : x
  2. Step 2: Convert to fraction form
    698,729/964,246.02 = 380,777/x
  3. Step 3: Cross multiply
    698,729x = 964,246.02 × 380,777
  4. Step 4: Simplify right side
    698,729x = 367,162,706,757.54
  5. Step 5: Solve for x
    x = 367,162,706,757.54/698,729
  6. Step 6: Final answer
    x = 525,472.26

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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.