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Finding the Fourth Proportional to 221,428.40, 333,017.40 and 198,683.60

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Solution

The fourth proportional to 221,428.40, 333,017.40 and 198,683.60 is: 298,810.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,428.40 : 333,017.40 = 198,683.60 : x
  2. Step 2: Convert to fraction form
    221,428.40/333,017.40 = 198,683.60/x
  3. Step 3: Cross multiply
    221,428.40x = 333,017.40 × 198,683.60
  4. Step 4: Simplify right side
    221,428.40x = 66,165,095,894.64
  5. Step 5: Solve for x
    x = 66,165,095,894.64/221,428.40
  6. Step 6: Final answer
    x = 298,810.34

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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.