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Finding the Fourth Proportional to 407,720.66, 562,662.16 and 226,449.62

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Solution

The fourth proportional to 407,720.66, 562,662.16 and 226,449.62 is: 312,504.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,720.66 : 562,662.16 = 226,449.62 : x
  2. Step 2: Convert to fraction form
    407,720.66/562,662.16 = 226,449.62/x
  3. Step 3: Cross multiply
    407,720.66x = 562,662.16 × 226,449.62
  4. Step 4: Simplify right side
    407,720.66x = 127,414,632,320.38
  5. Step 5: Solve for x
    x = 127,414,632,320.38/407,720.66
  6. Step 6: Final answer
    x = 312,504.72

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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.