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Finding the Fourth Proportional to 387,924.48, 535,356.96 and 218,168.64

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Solution

The fourth proportional to 387,924.48, 535,356.96 and 218,168.64 is: 301,084.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,924.48 : 535,356.96 = 218,168.64 : x
  2. Step 2: Convert to fraction form
    387,924.48/535,356.96 = 218,168.64/x
  3. Step 3: Cross multiply
    387,924.48x = 535,356.96 × 218,168.64
  4. Step 4: Simplify right side
    387,924.48x = 116,798,099,877.73
  5. Step 5: Solve for x
    x = 116,798,099,877.73/387,924.48
  6. Step 6: Final answer
    x = 301,084.63

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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.