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Finding the Fourth Proportional to 277,487.40, 416,231.10 and 100,000.20

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Solution

The fourth proportional to 277,487.40, 416,231.10 and 100,000.20 is: 150,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,487.40 : 416,231.10 = 100,000.20 : x
  2. Step 2: Convert to fraction form
    277,487.40/416,231.10 = 100,000.20/x
  3. Step 3: Cross multiply
    277,487.40x = 416,231.10 × 100,000.20
  4. Step 4: Simplify right side
    277,487.40x = 41,623,193,246.22
  5. Step 5: Solve for x
    x = 41,623,193,246.22/277,487.40
  6. Step 6: Final answer
    x = 150,000.30

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1.5x scale

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.