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Finding the Fourth Proportional to 490,462.90, 676,817 and 286,532.70

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Solution

The fourth proportional to 490,462.90, 676,817 and 286,532.70 is: 395,402.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,462.90 : 676,817 = 286,532.70 : x
  2. Step 2: Convert to fraction form
    490,462.90/676,817 = 286,532.70/x
  3. Step 3: Cross multiply
    490,462.90x = 676,817 × 286,532.70
  4. Step 4: Simplify right side
    490,462.90x = 193,930,202,415.90
  5. Step 5: Solve for x
    x = 193,930,202,415.90/490,462.90
  6. Step 6: Final answer
    x = 395,402.39

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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.