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Finding the Fourth Proportional to 490,650.42, 676,998.31 and 286,661.94

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Solution

The fourth proportional to 490,650.42, 676,998.31 and 286,661.94 is: 395,535.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,650.42 : 676,998.31 = 286,661.94 : x
  2. Step 2: Convert to fraction form
    490,650.42/676,998.31 = 286,661.94/x
  3. Step 3: Cross multiply
    490,650.42x = 676,998.31 × 286,661.94
  4. Step 4: Simplify right side
    490,650.42x = 194,069,648,921.32
  5. Step 5: Solve for x
    x = 194,069,648,921.32/490,650.42
  6. Step 6: Final answer
    x = 395,535.48

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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.