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Finding the Fourth Proportional to 470,200.80, 705,301.20 and 338,324.70

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Solution

The fourth proportional to 470,200.80, 705,301.20 and 338,324.70 is: 507,487.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,200.80 : 705,301.20 = 338,324.70 : x
  2. Step 2: Convert to fraction form
    470,200.80/705,301.20 = 338,324.70/x
  3. Step 3: Cross multiply
    470,200.80x = 705,301.20 × 338,324.70
  4. Step 4: Simplify right side
    470,200.80x = 238,620,816,899.64
  5. Step 5: Solve for x
    x = 238,620,816,899.64/470,200.80
  6. Step 6: Final answer
    x = 507,487.05

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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.