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Finding the Fourth Proportional to 503,506.78, 694,818.87 and 288,497.32

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Solution

The fourth proportional to 503,506.78, 694,818.87 and 288,497.32 is: 398,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,506.78 : 694,818.87 = 288,497.32 : x
  2. Step 2: Convert to fraction form
    503,506.78/694,818.87 = 288,497.32/x
  3. Step 3: Cross multiply
    503,506.78x = 694,818.87 × 288,497.32
  4. Step 4: Simplify right side
    503,506.78x = 200,453,381,880.43
  5. Step 5: Solve for x
    x = 200,453,381,880.43/503,506.78
  6. Step 6: Final answer
    x = 398,114.56

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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.