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Finding the Fourth Proportional to 277,487.10, 416,230.65 and 100,121.40

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Solution

The fourth proportional to 277,487.10, 416,230.65 and 100,121.40 is: 150,182.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,487.10 : 416,230.65 = 100,121.40 : x
  2. Step 2: Convert to fraction form
    277,487.10/416,230.65 = 100,121.40/x
  3. Step 3: Cross multiply
    277,487.10x = 416,230.65 × 100,121.40
  4. Step 4: Simplify right side
    277,487.10x = 41,673,595,400.91
  5. Step 5: Solve for x
    x = 41,673,595,400.91/277,487.10
  6. Step 6: Final answer
    x = 150,182.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.