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Finding the Fourth Proportional to 298,450.42, 447,394.20 and 148,549

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Solution

The fourth proportional to 298,450.42, 447,394.20 and 148,549 is: 222,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,450.42 : 447,394.20 = 148,549 : x
  2. Step 2: Convert to fraction form
    298,450.42/447,394.20 = 148,549/x
  3. Step 3: Cross multiply
    298,450.42x = 447,394.20 × 148,549
  4. Step 4: Simplify right side
    298,450.42x = 66,459,961,015.80
  5. Step 5: Solve for x
    x = 66,459,961,015.80/298,450.42
  6. Step 6: Final answer
    x = 222,683.42

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1.5x scale

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.