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Finding the Fourth Proportional to 407,720.52, 562,668.30 and 226,435.32

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Solution

The fourth proportional to 407,720.52, 562,668.30 and 226,435.32 is: 312,488.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,720.52 : 562,668.30 = 226,435.32 : x
  2. Step 2: Convert to fraction form
    407,720.52/562,668.30 = 226,435.32/x
  3. Step 3: Cross multiply
    407,720.52x = 562,668.30 × 226,435.32
  4. Step 4: Simplify right side
    407,720.52x = 127,407,976,564.36
  5. Step 5: Solve for x
    x = 127,407,976,564.36/407,720.52
  6. Step 6: Final answer
    x = 312,488.51

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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.