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Finding the Fourth Proportional to 397,712, 548,842.65 and 218,864

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Solution

The fourth proportional to 397,712, 548,842.65 and 218,864 is: 302,032.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,712 : 548,842.65 = 218,864 : x
  2. Step 2: Convert to fraction form
    397,712/548,842.65 = 218,864/x
  3. Step 3: Cross multiply
    397,712x = 548,842.65 × 218,864
  4. Step 4: Simplify right side
    397,712x = 120,121,897,749.60
  5. Step 5: Solve for x
    x = 120,121,897,749.60/397,712
  6. Step 6: Final answer
    x = 302,032.37

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