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Finding the Fourth Proportional to 447,109.78, 670,731.36 and 147,622

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Solution

The fourth proportional to 447,109.78, 670,731.36 and 147,622 is: 221,455.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,109.78 : 670,731.36 = 147,622 : x
  2. Step 2: Convert to fraction form
    447,109.78/670,731.36 = 147,622/x
  3. Step 3: Cross multiply
    447,109.78x = 670,731.36 × 147,622
  4. Step 4: Simplify right side
    447,109.78x = 99,014,704,825.92
  5. Step 5: Solve for x
    x = 99,014,704,825.92/447,109.78
  6. Step 6: Final answer
    x = 221,455.02

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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.