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Finding the Fourth Proportional to 277,409.40, 416,114.10 and 211,054.20

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Solution

The fourth proportional to 277,409.40, 416,114.10 and 211,054.20 is: 316,581.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,409.40 : 416,114.10 = 211,054.20 : x
  2. Step 2: Convert to fraction form
    277,409.40/416,114.10 = 211,054.20/x
  3. Step 3: Cross multiply
    277,409.40x = 416,114.10 × 211,054.20
  4. Step 4: Simplify right side
    277,409.40x = 87,822,628,484.22
  5. Step 5: Solve for x
    x = 87,822,628,484.22/277,409.40
  6. Step 6: Final answer
    x = 316,581.30

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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.