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Finding the Fourth Proportional to 387,756.96, 535,105.44 and 217,992.48

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Solution

The fourth proportional to 387,756.96, 535,105.44 and 217,992.48 is: 300,830.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,756.96 : 535,105.44 = 217,992.48 : x
  2. Step 2: Convert to fraction form
    387,756.96/535,105.44 = 217,992.48/x
  3. Step 3: Cross multiply
    387,756.96x = 535,105.44 × 217,992.48
  4. Step 4: Simplify right side
    387,756.96x = 116,648,961,927.09
  5. Step 5: Solve for x
    x = 116,648,961,927.09/387,756.96
  6. Step 6: Final answer
    x = 300,830.09

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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.