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Finding the Fourth Proportional to 312,962.14, 431,949 and 205,529.41

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Solution

The fourth proportional to 312,962.14, 431,949 and 205,529.41 is: 283,670.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,962.14 : 431,949 = 205,529.41 : x
  2. Step 2: Convert to fraction form
    312,962.14/431,949 = 205,529.41/x
  3. Step 3: Cross multiply
    312,962.14x = 431,949 × 205,529.41
  4. Step 4: Simplify right side
    312,962.14x = 88,778,223,120.09
  5. Step 5: Solve for x
    x = 88,778,223,120.09/312,962.14
  6. Step 6: Final answer
    x = 283,670.81

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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.