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Finding the Fourth Proportional to 554,114.90, 831,172.35 and 199,164.80

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Solution

The fourth proportional to 554,114.90, 831,172.35 and 199,164.80 is: 298,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,114.90 : 831,172.35 = 199,164.80 : x
  2. Step 2: Convert to fraction form
    554,114.90/831,172.35 = 199,164.80/x
  3. Step 3: Cross multiply
    554,114.90x = 831,172.35 × 199,164.80
  4. Step 4: Simplify right side
    554,114.90x = 165,540,274,853.28
  5. Step 5: Solve for x
    x = 165,540,274,853.28/554,114.90
  6. Step 6: Final answer
    x = 298,747.20

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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.