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Finding the Fourth Proportional to 420,956.35, 580,747.73 and 310,838.85

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Solution

The fourth proportional to 420,956.35, 580,747.73 and 310,838.85 is: 428,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,956.35 : 580,747.73 = 310,838.85 : x
  2. Step 2: Convert to fraction form
    420,956.35/580,747.73 = 310,838.85/x
  3. Step 3: Cross multiply
    420,956.35x = 580,747.73 × 310,838.85
  4. Step 4: Simplify right side
    420,956.35x = 180,518,954,979.12
  5. Step 5: Solve for x
    x = 180,518,954,979.12/420,956.35
  6. Step 6: Final answer
    x = 428,830.58

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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.