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Finding the Fourth Proportional to 298,114.90, 411,401.53 and 162,152.01

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Solution

The fourth proportional to 298,114.90, 411,401.53 and 162,152.01 is: 223,771.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,114.90 : 411,401.53 = 162,152.01 : x
  2. Step 2: Convert to fraction form
    298,114.90/411,401.53 = 162,152.01/x
  3. Step 3: Cross multiply
    298,114.90x = 411,401.53 × 162,152.01
  4. Step 4: Simplify right side
    298,114.90x = 66,709,585,209.27
  5. Step 5: Solve for x
    x = 66,709,585,209.27/298,114.90
  6. Step 6: Final answer
    x = 223,771.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.