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Finding the Fourth Proportional to 496,597.63, 685,257.33 and 278,756.44

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Solution

The fourth proportional to 496,597.63, 685,257.33 and 278,756.44 is: 384,657.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,597.63 : 685,257.33 = 278,756.44 : x
  2. Step 2: Convert to fraction form
    496,597.63/685,257.33 = 278,756.44/x
  3. Step 3: Cross multiply
    496,597.63x = 685,257.33 × 278,756.44
  4. Step 4: Simplify right side
    496,597.63x = 191,019,893,794.71
  5. Step 5: Solve for x
    x = 191,019,893,794.71/496,597.63
  6. Step 6: Final answer
    x = 384,657.28

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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.