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Finding the Fourth Proportional to 557,880.32, 769,842 and 303,229.28

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Solution

The fourth proportional to 557,880.32, 769,842 and 303,229.28 is: 418,438.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,880.32 : 769,842 = 303,229.28 : x
  2. Step 2: Convert to fraction form
    557,880.32/769,842 = 303,229.28/x
  3. Step 3: Cross multiply
    557,880.32x = 769,842 × 303,229.28
  4. Step 4: Simplify right side
    557,880.32x = 233,438,635,373.76
  5. Step 5: Solve for x
    x = 233,438,635,373.76/557,880.32
  6. Step 6: Final answer
    x = 418,438.56

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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.