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Finding the Fourth Proportional to 407,914.72, 562,918.60 and 226,627

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Solution

The fourth proportional to 407,914.72, 562,918.60 and 226,627 is: 312,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,914.72 : 562,918.60 = 226,627 : x
  2. Step 2: Convert to fraction form
    407,914.72/562,918.60 = 226,627/x
  3. Step 3: Cross multiply
    407,914.72x = 562,918.60 × 226,627
  4. Step 4: Simplify right side
    407,914.72x = 127,572,553,562.20
  5. Step 5: Solve for x
    x = 127,572,553,562.20/407,914.72
  6. Step 6: Final answer
    x = 312,743.20

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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.