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Finding the Fourth Proportional to 666,857.34, 1,000,199.34 and 393,460.47

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Solution

The fourth proportional to 666,857.34, 1,000,199.34 and 393,460.47 is: 590,139.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,857.34 : 1,000,199.34 = 393,460.47 : x
  2. Step 2: Convert to fraction form
    666,857.34/1,000,199.34 = 393,460.47/x
  3. Step 3: Cross multiply
    666,857.34x = 1,000,199.34 × 393,460.47
  4. Step 4: Simplify right side
    666,857.34x = 393,538,902,410.09
  5. Step 5: Solve for x
    x = 393,538,902,410.09/666,857.34
  6. Step 6: Final answer
    x = 590,139.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.