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Finding the Fourth Proportional to 534,729, 737,926.02 and 319,878.12

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Solution

The fourth proportional to 534,729, 737,926.02 and 319,878.12 is: 441,431.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,729 : 737,926.02 = 319,878.12 : x
  2. Step 2: Convert to fraction form
    534,729/737,926.02 = 319,878.12/x
  3. Step 3: Cross multiply
    534,729x = 737,926.02 × 319,878.12
  4. Step 4: Simplify right side
    534,729x = 236,046,387,976.68
  5. Step 5: Solve for x
    x = 236,046,387,976.68/534,729
  6. Step 6: Final answer
    x = 441,431.81

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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.