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Finding the Fourth Proportional to 470,739.44, 649,622.73 and 255,879.50

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Solution

The fourth proportional to 470,739.44, 649,622.73 and 255,879.50 is: 353,114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,739.44 : 649,622.73 = 255,879.50 : x
  2. Step 2: Convert to fraction form
    470,739.44/649,622.73 = 255,879.50/x
  3. Step 3: Cross multiply
    470,739.44x = 649,622.73 × 255,879.50
  4. Step 4: Simplify right side
    470,739.44x = 166,225,139,341.04
  5. Step 5: Solve for x
    x = 166,225,139,341.04/470,739.44
  6. Step 6: Final answer
    x = 353,114.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.