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Finding the Fourth Proportional to 320,039.46, 480,059.19 and 219,896.06

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Solution

The fourth proportional to 320,039.46, 480,059.19 and 219,896.06 is: 329,844.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,039.46 : 480,059.19 = 219,896.06 : x
  2. Step 2: Convert to fraction form
    320,039.46/480,059.19 = 219,896.06/x
  3. Step 3: Cross multiply
    320,039.46x = 480,059.19 × 219,896.06
  4. Step 4: Simplify right side
    320,039.46x = 105,563,122,047.50
  5. Step 5: Solve for x
    x = 105,563,122,047.50/320,039.46
  6. Step 6: Final answer
    x = 329,844.08

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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.