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Finding the Fourth Proportional to 407,048.56, 561,696.60 and 228,166

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Solution

The fourth proportional to 407,048.56, 561,696.60 and 228,166 is: 314,852.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,048.56 : 561,696.60 = 228,166 : x
  2. Step 2: Convert to fraction form
    407,048.56/561,696.60 = 228,166/x
  3. Step 3: Cross multiply
    407,048.56x = 561,696.60 × 228,166
  4. Step 4: Simplify right side
    407,048.56x = 128,160,066,435.60
  5. Step 5: Solve for x
    x = 128,160,066,435.60/407,048.56
  6. Step 6: Final answer
    x = 314,852.03

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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.