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Finding the Fourth Proportional to 490,216.96, 676,394.47 and 286,175.28

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Solution

The fourth proportional to 490,216.96, 676,394.47 and 286,175.28 is: 394,860.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,216.96 : 676,394.47 = 286,175.28 : x
  2. Step 2: Convert to fraction form
    490,216.96/676,394.47 = 286,175.28/x
  3. Step 3: Cross multiply
    490,216.96x = 676,394.47 × 286,175.28
  4. Step 4: Simplify right side
    490,216.96x = 193,567,376,842.70
  5. Step 5: Solve for x
    x = 193,567,376,842.70/490,216.96
  6. Step 6: Final answer
    x = 394,860.63

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1.5x scale

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.