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Finding the Fourth Proportional to 476,662.88, 714,994.09 and 121,676.78

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Solution

The fourth proportional to 476,662.88, 714,994.09 and 121,676.78 is: 182,515.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,662.88 : 714,994.09 = 121,676.78 : x
  2. Step 2: Convert to fraction form
    476,662.88/714,994.09 = 121,676.78/x
  3. Step 3: Cross multiply
    476,662.88x = 714,994.09 × 121,676.78
  4. Step 4: Simplify right side
    476,662.88x = 86,998,180,073.52
  5. Step 5: Solve for x
    x = 86,998,180,073.52/476,662.88
  6. Step 6: Final answer
    x = 182,515.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.