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Finding the Fourth Proportional to 557,561.44, 769,438.47 and 302,912.56

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Solution

The fourth proportional to 557,561.44, 769,438.47 and 302,912.56 is: 418,021.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,561.44 : 769,438.47 = 302,912.56 : x
  2. Step 2: Convert to fraction form
    557,561.44/769,438.47 = 302,912.56/x
  3. Step 3: Cross multiply
    557,561.44x = 769,438.47 × 302,912.56
  4. Step 4: Simplify right side
    557,561.44x = 233,072,576,710.18
  5. Step 5: Solve for x
    x = 233,072,576,710.18/557,561.44
  6. Step 6: Final answer
    x = 418,021.33

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1.5x scale

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.