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Finding the Fourth Proportional to 666,144, 919,278.72 and 364,338

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Solution

The fourth proportional to 666,144, 919,278.72 and 364,338 is: 502,786.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,144 : 919,278.72 = 364,338 : x
  2. Step 2: Convert to fraction form
    666,144/919,278.72 = 364,338/x
  3. Step 3: Cross multiply
    666,144x = 919,278.72 × 364,338
  4. Step 4: Simplify right side
    666,144x = 334,928,170,287.36
  5. Step 5: Solve for x
    x = 334,928,170,287.36/666,144
  6. Step 6: Final answer
    x = 502,786.44

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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.