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Finding the Fourth Proportional to 298,448.42, 447,391.20 and 148,547

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Solution

The fourth proportional to 298,448.42, 447,391.20 and 148,547 is: 222,680.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,448.42 : 447,391.20 = 148,547 : x
  2. Step 2: Convert to fraction form
    298,448.42/447,391.20 = 148,547/x
  3. Step 3: Cross multiply
    298,448.42x = 447,391.20 × 148,547
  4. Step 4: Simplify right side
    298,448.42x = 66,458,620,586.40
  5. Step 5: Solve for x
    x = 66,458,620,586.40/298,448.42
  6. Step 6: Final answer
    x = 222,680.42

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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.