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Finding the Fourth Proportional to 503,387.22, 694,518 and 285,559.98

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Solution

The fourth proportional to 503,387.22, 694,518 and 285,559.98 is: 393,984.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,387.22 : 694,518 = 285,559.98 : x
  2. Step 2: Convert to fraction form
    503,387.22/694,518 = 285,559.98/x
  3. Step 3: Cross multiply
    503,387.22x = 694,518 × 285,559.98
  4. Step 4: Simplify right side
    503,387.22x = 198,326,546,189.64
  5. Step 5: Solve for x
    x = 198,326,546,189.64/503,387.22
  6. Step 6: Final answer
    x = 393,984.07

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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.