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Finding the Fourth Proportional to 397,638.44, 548,756.16 and 227,905.32

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Solution

The fourth proportional to 397,638.44, 548,756.16 and 227,905.32 is: 314,518.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,638.44 : 548,756.16 = 227,905.32 : x
  2. Step 2: Convert to fraction form
    397,638.44/548,756.16 = 227,905.32/x
  3. Step 3: Cross multiply
    397,638.44x = 548,756.16 × 227,905.32
  4. Step 4: Simplify right side
    397,638.44x = 125,064,448,246.77
  5. Step 5: Solve for x
    x = 125,064,448,246.77/397,638.44
  6. Step 6: Final answer
    x = 314,518.00

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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.