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Finding the Fourth Proportional to 786,994.80, 1,180,978.20 and 313,630.80

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Solution

The fourth proportional to 786,994.80, 1,180,978.20 and 313,630.80 is: 470,639.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,994.80 : 1,180,978.20 = 313,630.80 : x
  2. Step 2: Convert to fraction form
    786,994.80/1,180,978.20 = 313,630.80/x
  3. Step 3: Cross multiply
    786,994.80x = 1,180,978.20 × 313,630.80
  4. Step 4: Simplify right side
    786,994.80x = 370,391,137,648.56
  5. Step 5: Solve for x
    x = 370,391,137,648.56/786,994.80
  6. Step 6: Final answer
    x = 470,639.88

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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.