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Finding the Fourth Proportional to 496,597.53, 685,257.15 and 278,756.29

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Solution

The fourth proportional to 496,597.53, 685,257.15 and 278,756.29 is: 384,657.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,597.53 : 685,257.15 = 278,756.29 : x
  2. Step 2: Convert to fraction form
    496,597.53/685,257.15 = 278,756.29/x
  3. Step 3: Cross multiply
    496,597.53x = 685,257.15 × 278,756.29
  4. Step 4: Simplify right side
    496,597.53x = 191,019,740,829.97
  5. Step 5: Solve for x
    x = 191,019,740,829.97/496,597.53
  6. Step 6: Final answer
    x = 384,657.05

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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.