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Finding the Fourth Proportional to 557,833.20, 769,809.92 and 303,184.40

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Solution

The fourth proportional to 557,833.20, 769,809.92 and 303,184.40 is: 418,394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,833.20 : 769,809.92 = 303,184.40 : x
  2. Step 2: Convert to fraction form
    557,833.20/769,809.92 = 303,184.40/x
  3. Step 3: Cross multiply
    557,833.20x = 769,809.92 × 303,184.40
  4. Step 4: Simplify right side
    557,833.20x = 233,394,358,709.25
  5. Step 5: Solve for x
    x = 233,394,358,709.25/557,833.20
  6. Step 6: Final answer
    x = 418,394.53

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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.