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Finding the Fourth Proportional to 387,900, 535,243.68 and 218,130.48

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Solution

The fourth proportional to 387,900, 535,243.68 and 218,130.48 is: 300,987.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,900 : 535,243.68 = 218,130.48 : x
  2. Step 2: Convert to fraction form
    387,900/535,243.68 = 218,130.48/x
  3. Step 3: Cross multiply
    387,900x = 535,243.68 × 218,130.48
  4. Step 4: Simplify right side
    387,900x = 116,752,960,835.37
  5. Step 5: Solve for x
    x = 116,752,960,835.37/387,900
  6. Step 6: Final answer
    x = 300,987.27

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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.