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Finding the Fourth Proportional to 490,283.14, 676,002.08 and 354,099.46

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Solution

The fourth proportional to 490,283.14, 676,002.08 and 354,099.46 is: 488,232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,283.14 : 676,002.08 = 354,099.46 : x
  2. Step 2: Convert to fraction form
    490,283.14/676,002.08 = 354,099.46/x
  3. Step 3: Cross multiply
    490,283.14x = 676,002.08 × 354,099.46
  4. Step 4: Simplify right side
    490,283.14x = 239,371,971,486.88
  5. Step 5: Solve for x
    x = 239,371,971,486.88/490,283.14
  6. Step 6: Final answer
    x = 488,232.11

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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.