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Finding the Fourth Proportional to 362,117.84, 542,390.52 and 221,450

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Solution

The fourth proportional to 362,117.84, 542,390.52 and 221,450 is: 331,694.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,117.84 : 542,390.52 = 221,450 : x
  2. Step 2: Convert to fraction form
    362,117.84/542,390.52 = 221,450/x
  3. Step 3: Cross multiply
    362,117.84x = 542,390.52 × 221,450
  4. Step 4: Simplify right side
    362,117.84x = 120,112,380,654
  5. Step 5: Solve for x
    x = 120,112,380,654/362,117.84
  6. Step 6: Final answer
    x = 331,694.18

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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.