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Finding the Fourth Proportional to 320,052.74, 480,380.42 and 162,394.34

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Solution

The fourth proportional to 320,052.74, 480,380.42 and 162,394.34 is: 243,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,052.74 : 480,380.42 = 162,394.34 : x
  2. Step 2: Convert to fraction form
    320,052.74/480,380.42 = 162,394.34/x
  3. Step 3: Cross multiply
    320,052.74x = 480,380.42 × 162,394.34
  4. Step 4: Simplify right side
    320,052.74x = 78,011,059,258.91
  5. Step 5: Solve for x
    x = 78,011,059,258.91/320,052.74
  6. Step 6: Final answer
    x = 243,744.39

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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.