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Finding the Fourth Proportional to 407,707.08, 562,639.14 and 226,422

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Solution

The fourth proportional to 407,707.08, 562,639.14 and 226,422 is: 312,464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,707.08 : 562,639.14 = 226,422 : x
  2. Step 2: Convert to fraction form
    407,707.08/562,639.14 = 226,422/x
  3. Step 3: Cross multiply
    407,707.08x = 562,639.14 × 226,422
  4. Step 4: Simplify right side
    407,707.08x = 127,393,879,357.08
  5. Step 5: Solve for x
    x = 127,393,879,357.08/407,707.08
  6. Step 6: Final answer
    x = 312,464.23

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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.