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Finding the Fourth Proportional to 490,283.64, 676,396.86 and 283,513.82

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Solution

The fourth proportional to 490,283.64, 676,396.86 and 283,513.82 is: 391,136.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,283.64 : 676,396.86 = 283,513.82 : x
  2. Step 2: Convert to fraction form
    490,283.64/676,396.86 = 283,513.82/x
  3. Step 3: Cross multiply
    490,283.64x = 676,396.86 × 283,513.82
  4. Step 4: Simplify right side
    490,283.64x = 191,767,859,305.60
  5. Step 5: Solve for x
    x = 191,767,859,305.60/490,283.64
  6. Step 6: Final answer
    x = 391,136.57

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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.