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Finding the Fourth Proportional to 277,557.10, 416,080.50 and 100,020.70

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Solution

The fourth proportional to 277,557.10, 416,080.50 and 100,020.70 is: 149,939.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,557.10 : 416,080.50 = 100,020.70 : x
  2. Step 2: Convert to fraction form
    277,557.10/416,080.50 = 100,020.70/x
  3. Step 3: Cross multiply
    277,557.10x = 416,080.50 × 100,020.70
  4. Step 4: Simplify right side
    277,557.10x = 41,616,662,866.35
  5. Step 5: Solve for x
    x = 41,616,662,866.35/277,557.10
  6. Step 6: Final answer
    x = 149,939.10

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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.