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Finding the Fourth Proportional to 322,874.88, 484,189.44 and 147,648

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Solution

The fourth proportional to 322,874.88, 484,189.44 and 147,648 is: 221,415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,874.88 : 484,189.44 = 147,648 : x
  2. Step 2: Convert to fraction form
    322,874.88/484,189.44 = 147,648/x
  3. Step 3: Cross multiply
    322,874.88x = 484,189.44 × 147,648
  4. Step 4: Simplify right side
    322,874.88x = 71,489,602,437.12
  5. Step 5: Solve for x
    x = 71,489,602,437.12/322,874.88
  6. Step 6: Final answer
    x = 221,415.81

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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.