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Finding the Fourth Proportional to 490,537.44, 676,944.04 and 286,600

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Solution

The fourth proportional to 490,537.44, 676,944.04 and 286,600 is: 395,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,537.44 : 676,944.04 = 286,600 : x
  2. Step 2: Convert to fraction form
    490,537.44/676,944.04 = 286,600/x
  3. Step 3: Cross multiply
    490,537.44x = 676,944.04 × 286,600
  4. Step 4: Simplify right side
    490,537.44x = 194,012,161,864
  5. Step 5: Solve for x
    x = 194,012,161,864/490,537.44
  6. Step 6: Final answer
    x = 395,509.39

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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.