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Finding the Fourth Proportional to 470,492.80, 705,739.20 and 321,193.60

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Solution

The fourth proportional to 470,492.80, 705,739.20 and 321,193.60 is: 481,790.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,492.80 : 705,739.20 = 321,193.60 : x
  2. Step 2: Convert to fraction form
    470,492.80/705,739.20 = 321,193.60/x
  3. Step 3: Cross multiply
    470,492.80x = 705,739.20 × 321,193.60
  4. Step 4: Simplify right side
    470,492.80x = 226,678,914,309.12
  5. Step 5: Solve for x
    x = 226,678,914,309.12/470,492.80
  6. Step 6: Final answer
    x = 481,790.40

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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.