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Finding the Fourth Proportional to 389,870.82, 584,768.16 and 264,317.58

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Solution

The fourth proportional to 389,870.82, 584,768.16 and 264,317.58 is: 396,450.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,870.82 : 584,768.16 = 264,317.58 : x
  2. Step 2: Convert to fraction form
    389,870.82/584,768.16 = 264,317.58/x
  3. Step 3: Cross multiply
    389,870.82x = 584,768.16 × 264,317.58
  4. Step 4: Simplify right side
    389,870.82x = 154,564,504,912.25
  5. Step 5: Solve for x
    x = 154,564,504,912.25/389,870.82
  6. Step 6: Final answer
    x = 396,450.56

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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.