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Finding the Fourth Proportional to 834,333, 1,251,538.38 and 243,357

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Solution

The fourth proportional to 834,333, 1,251,538.38 and 243,357 is: 365,046.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,333 : 1,251,538.38 = 243,357 : x
  2. Step 2: Convert to fraction form
    834,333/1,251,538.38 = 243,357/x
  3. Step 3: Cross multiply
    834,333x = 1,251,538.38 × 243,357
  4. Step 4: Simplify right side
    834,333x = 304,570,625,541.66
  5. Step 5: Solve for x
    x = 304,570,625,541.66/834,333
  6. Step 6: Final answer
    x = 365,046.84

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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.