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Finding the Fourth Proportional to 421,680.24, 581,958.78 and 230,722.32

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Solution

The fourth proportional to 421,680.24, 581,958.78 and 230,722.32 is: 318,418.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,680.24 : 581,958.78 = 230,722.32 : x
  2. Step 2: Convert to fraction form
    421,680.24/581,958.78 = 230,722.32/x
  3. Step 3: Cross multiply
    421,680.24x = 581,958.78 × 230,722.32
  4. Step 4: Simplify right side
    421,680.24x = 134,270,879,865.97
  5. Step 5: Solve for x
    x = 134,270,879,865.97/421,680.24
  6. Step 6: Final answer
    x = 318,418.71

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1.5x scale

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.