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Finding the Fourth Proportional to 327,111.84, 490,564.08 and 105,444

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Solution

The fourth proportional to 327,111.84, 490,564.08 and 105,444 is: 158,132.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,111.84 : 490,564.08 = 105,444 : x
  2. Step 2: Convert to fraction form
    327,111.84/490,564.08 = 105,444/x
  3. Step 3: Cross multiply
    327,111.84x = 490,564.08 × 105,444
  4. Step 4: Simplify right side
    327,111.84x = 51,727,038,851.52
  5. Step 5: Solve for x
    x = 51,727,038,851.52/327,111.84
  6. Step 6: Final answer
    x = 158,132.58

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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.