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Finding the Fourth Proportional to 298,632.56, 447,678.09 and 148,918.74

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Solution

The fourth proportional to 298,632.56, 447,678.09 and 148,918.74 is: 223,243.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,632.56 : 447,678.09 = 148,918.74 : x
  2. Step 2: Convert to fraction form
    298,632.56/447,678.09 = 148,918.74/x
  3. Step 3: Cross multiply
    298,632.56x = 447,678.09 × 148,918.74
  4. Step 4: Simplify right side
    298,632.56x = 66,667,655,409.61
  5. Step 5: Solve for x
    x = 66,667,655,409.61/298,632.56
  6. Step 6: Final answer
    x = 223,243.09

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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.