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Finding the Fourth Proportional to 312,636.61, 431,587.28 and 209,448.48

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Solution

The fourth proportional to 312,636.61, 431,587.28 and 209,448.48 is: 289,138.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,636.61 : 431,587.28 = 209,448.48 : x
  2. Step 2: Convert to fraction form
    312,636.61/431,587.28 = 209,448.48/x
  3. Step 3: Cross multiply
    312,636.61x = 431,587.28 × 209,448.48
  4. Step 4: Simplify right side
    312,636.61x = 90,395,298,736.09
  5. Step 5: Solve for x
    x = 90,395,298,736.09/312,636.61
  6. Step 6: Final answer
    x = 289,138.56

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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.