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Finding the Fourth Proportional to 407,897.22, 562,897.71 and 226,626

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Solution

The fourth proportional to 407,897.22, 562,897.71 and 226,626 is: 312,743.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,897.22 : 562,897.71 = 226,626 : x
  2. Step 2: Convert to fraction form
    407,897.22/562,897.71 = 226,626/x
  3. Step 3: Cross multiply
    407,897.22x = 562,897.71 × 226,626
  4. Step 4: Simplify right side
    407,897.22x = 127,567,256,426.46
  5. Step 5: Solve for x
    x = 127,567,256,426.46/407,897.22
  6. Step 6: Final answer
    x = 312,743.63

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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.