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Finding the Fourth Proportional to 666,128, 919,256.66 and 364,322

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Solution

The fourth proportional to 666,128, 919,256.66 and 364,322 is: 502,764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,128 : 919,256.66 = 364,322 : x
  2. Step 2: Convert to fraction form
    666,128/919,256.66 = 364,322/x
  3. Step 3: Cross multiply
    666,128x = 919,256.66 × 364,322
  4. Step 4: Simplify right side
    666,128x = 334,905,424,884.52
  5. Step 5: Solve for x
    x = 334,905,424,884.52/666,128
  6. Step 6: Final answer
    x = 502,764.37

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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.