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Finding the Fourth Proportional to 490,223.46, 676,403.42 and 286,181.78

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Solution

The fourth proportional to 490,223.46, 676,403.42 and 286,181.78 is: 394,869.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,223.46 : 676,403.42 = 286,181.78 : x
  2. Step 2: Convert to fraction form
    490,223.46/676,403.42 = 286,181.78/x
  3. Step 3: Cross multiply
    490,223.46x = 676,403.42 × 286,181.78
  4. Step 4: Simplify right side
    490,223.46x = 193,574,334,733.69
  5. Step 5: Solve for x
    x = 193,574,334,733.69/490,223.46
  6. Step 6: Final answer
    x = 394,869.59

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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.