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Finding the Fourth Proportional to 470,245.71, 648,917.37 and 266,291.96

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Solution

The fourth proportional to 470,245.71, 648,917.37 and 266,291.96 is: 367,470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,245.71 : 648,917.37 = 266,291.96 : x
  2. Step 2: Convert to fraction form
    470,245.71/648,917.37 = 266,291.96/x
  3. Step 3: Cross multiply
    470,245.71x = 648,917.37 × 266,291.96
  4. Step 4: Simplify right side
    470,245.71x = 172,801,478,917.94
  5. Step 5: Solve for x
    x = 172,801,478,917.94/470,245.71
  6. Step 6: Final answer
    x = 367,470.61

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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.