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Finding the Fourth Proportional to 453,762.60, 680,903.10 and 313,621.80

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Solution

The fourth proportional to 453,762.60, 680,903.10 and 313,621.80 is: 470,611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,762.60 : 680,903.10 = 313,621.80 : x
  2. Step 2: Convert to fraction form
    453,762.60/680,903.10 = 313,621.80/x
  3. Step 3: Cross multiply
    453,762.60x = 680,903.10 × 313,621.80
  4. Step 4: Simplify right side
    453,762.60x = 213,546,055,847.58
  5. Step 5: Solve for x
    x = 213,546,055,847.58/453,762.60
  6. Step 6: Final answer
    x = 470,611.85

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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.