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Finding the Fourth Proportional to 387,900.48, 535,323.84 and 218,144.64

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Solution

The fourth proportional to 387,900.48, 535,323.84 and 218,144.64 is: 301,051.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,900.48 : 535,323.84 = 218,144.64 : x
  2. Step 2: Convert to fraction form
    387,900.48/535,323.84 = 218,144.64/x
  3. Step 3: Cross multiply
    387,900.48x = 535,323.84 × 218,144.64
  4. Step 4: Simplify right side
    387,900.48x = 116,778,026,360.22
  5. Step 5: Solve for x
    x = 116,778,026,360.22/387,900.48
  6. Step 6: Final answer
    x = 301,051.51

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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.