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Finding the Fourth Proportional to 534,465, 737,540.10 and 319,723.74

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Solution

The fourth proportional to 534,465, 737,540.10 and 319,723.74 is: 441,205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,465 : 737,540.10 = 319,723.74 : x
  2. Step 2: Convert to fraction form
    534,465/737,540.10 = 319,723.74/x
  3. Step 3: Cross multiply
    534,465x = 737,540.10 × 319,723.74
  4. Step 4: Simplify right side
    534,465x = 235,809,079,171.97
  5. Step 5: Solve for x
    x = 235,809,079,171.97/534,465
  6. Step 6: Final answer
    x = 441,205.84

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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.