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Finding the Fourth Proportional to 209,408.52, 314,112.80 and 146,351.78

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Solution

The fourth proportional to 209,408.52, 314,112.80 and 146,351.78 is: 219,527.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,408.52 : 314,112.80 = 146,351.78 : x
  2. Step 2: Convert to fraction form
    209,408.52/314,112.80 = 146,351.78/x
  3. Step 3: Cross multiply
    209,408.52x = 314,112.80 × 146,351.78
  4. Step 4: Simplify right side
    209,408.52x = 45,970,967,374.02
  5. Step 5: Solve for x
    x = 45,970,967,374.02/209,408.52
  6. Step 6: Final answer
    x = 219,527.68

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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.