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Finding the Fourth Proportional to 557,728.24, 769,776.72 and 331,330

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Solution

The fourth proportional to 557,728.24, 769,776.72 and 331,330 is: 457,301.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,728.24 : 769,776.72 = 331,330 : x
  2. Step 2: Convert to fraction form
    557,728.24/769,776.72 = 331,330/x
  3. Step 3: Cross multiply
    557,728.24x = 769,776.72 × 331,330
  4. Step 4: Simplify right side
    557,728.24x = 255,050,120,637.60
  5. Step 5: Solve for x
    x = 255,050,120,637.60/557,728.24
  6. Step 6: Final answer
    x = 457,301.79

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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.