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Finding the Fourth Proportional to 407,222.62, 562,034.70 and 225,992.78

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Solution

The fourth proportional to 407,222.62, 562,034.70 and 225,992.78 is: 311,907.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,222.62 : 562,034.70 = 225,992.78 : x
  2. Step 2: Convert to fraction form
    407,222.62/562,034.70 = 225,992.78/x
  3. Step 3: Cross multiply
    407,222.62x = 562,034.70 × 225,992.78
  4. Step 4: Simplify right side
    407,222.62x = 127,015,784,309.47
  5. Step 5: Solve for x
    x = 127,015,784,309.47/407,222.62
  6. Step 6: Final answer
    x = 311,907.49

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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.