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Finding the Fourth Proportional to 298,451.42, 447,395.70 and 148,550

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Solution

The fourth proportional to 298,451.42, 447,395.70 and 148,550 is: 222,684.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,451.42 : 447,395.70 = 148,550 : x
  2. Step 2: Convert to fraction form
    298,451.42/447,395.70 = 148,550/x
  3. Step 3: Cross multiply
    298,451.42x = 447,395.70 × 148,550
  4. Step 4: Simplify right side
    298,451.42x = 66,460,631,235
  5. Step 5: Solve for x
    x = 66,460,631,235/298,451.42
  6. Step 6: Final answer
    x = 222,684.92

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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.