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Finding the Fourth Proportional to 490,222.96, 676,402.74 and 286,181.28

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Solution

The fourth proportional to 490,222.96, 676,402.74 and 286,181.28 is: 394,868.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,222.96 : 676,402.74 = 286,181.28 : x
  2. Step 2: Convert to fraction form
    490,222.96/676,402.74 = 286,181.28/x
  3. Step 3: Cross multiply
    490,222.96x = 676,402.74 × 286,181.28
  4. Step 4: Simplify right side
    490,222.96x = 193,573,801,928.71
  5. Step 5: Solve for x
    x = 193,573,801,928.71/490,222.96
  6. Step 6: Final answer
    x = 394,868.90

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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.