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Finding the Fourth Proportional to 619,090.47, 854,388.68 and 343,538.46

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Solution

The fourth proportional to 619,090.47, 854,388.68 and 343,538.46 is: 474,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,090.47 : 854,388.68 = 343,538.46 : x
  2. Step 2: Convert to fraction form
    619,090.47/854,388.68 = 343,538.46/x
  3. Step 3: Cross multiply
    619,090.47x = 854,388.68 × 343,538.46
  4. Step 4: Simplify right side
    619,090.47x = 293,515,369,650.94
  5. Step 5: Solve for x
    x = 293,515,369,650.94/619,090.47
  6. Step 6: Final answer
    x = 474,107.39

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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.