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Finding the Fourth Proportional to 557,972.40, 769,992.84 and 303,330

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Solution

The fourth proportional to 557,972.40, 769,992.84 and 303,330 is: 418,590.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,972.40 : 769,992.84 = 303,330 : x
  2. Step 2: Convert to fraction form
    557,972.40/769,992.84 = 303,330/x
  3. Step 3: Cross multiply
    557,972.40x = 769,992.84 × 303,330
  4. Step 4: Simplify right side
    557,972.40x = 233,561,928,157.20
  5. Step 5: Solve for x
    x = 233,561,928,157.20/557,972.40
  6. Step 6: Final answer
    x = 418,590.47

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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.