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Finding the Fourth Proportional to 503,065.08, 694,280.73 and 288,233.64

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Solution

The fourth proportional to 503,065.08, 694,280.73 and 288,233.64 is: 397,791.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,065.08 : 694,280.73 = 288,233.64 : x
  2. Step 2: Convert to fraction form
    503,065.08/694,280.73 = 288,233.64/x
  3. Step 3: Cross multiply
    503,065.08x = 694,280.73 × 288,233.64
  4. Step 4: Simplify right side
    503,065.08x = 200,115,061,989.76
  5. Step 5: Solve for x
    x = 200,115,061,989.76/503,065.08
  6. Step 6: Final answer
    x = 397,791.60

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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.