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Finding the Fourth Proportional to 362,121.84, 542,396.52 and 221,454

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Solution

The fourth proportional to 362,121.84, 542,396.52 and 221,454 is: 331,700.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,121.84 : 542,396.52 = 221,454 : x
  2. Step 2: Convert to fraction form
    362,121.84/542,396.52 = 221,454/x
  3. Step 3: Cross multiply
    362,121.84x = 542,396.52 × 221,454
  4. Step 4: Simplify right side
    362,121.84x = 120,115,878,940.08
  5. Step 5: Solve for x
    x = 120,115,878,940.08/362,121.84
  6. Step 6: Final answer
    x = 331,700.18

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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.