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Finding the Fourth Proportional to 387,894.64, 535,297.92 and 218,127.28

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Solution

The fourth proportional to 387,894.64, 535,297.92 and 218,127.28 is: 301,017.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,894.64 : 535,297.92 = 218,127.28 : x
  2. Step 2: Convert to fraction form
    387,894.64/535,297.92 = 218,127.28/x
  3. Step 3: Cross multiply
    387,894.64x = 535,297.92 × 218,127.28
  4. Step 4: Simplify right side
    387,894.64x = 116,763,079,279.26
  5. Step 5: Solve for x
    x = 116,763,079,279.26/387,894.64
  6. Step 6: Final answer
    x = 301,017.51

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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.