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Finding the Fourth Proportional to 666,549, 919,837.74 and 364,743

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Solution

The fourth proportional to 666,549, 919,837.74 and 364,743 is: 503,345.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,549 : 919,837.74 = 364,743 : x
  2. Step 2: Convert to fraction form
    666,549/919,837.74 = 364,743/x
  3. Step 3: Cross multiply
    666,549x = 919,837.74 × 364,743
  4. Step 4: Simplify right side
    666,549x = 335,504,376,800.82
  5. Step 5: Solve for x
    x = 335,504,376,800.82/666,549
  6. Step 6: Final answer
    x = 503,345.41

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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.