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Finding the Fourth Proportional to 397,653.44, 548,776.86 and 227,920.32

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Solution

The fourth proportional to 397,653.44, 548,776.86 and 227,920.32 is: 314,538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,653.44 : 548,776.86 = 227,920.32 : x
  2. Step 2: Convert to fraction form
    397,653.44/548,776.86 = 227,920.32/x
  3. Step 3: Cross multiply
    397,653.44x = 548,776.86 × 227,920.32
  4. Step 4: Simplify right side
    397,653.44x = 125,077,397,539.80
  5. Step 5: Solve for x
    x = 125,077,397,539.80/397,653.44
  6. Step 6: Final answer
    x = 314,538.70

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1.5x scale

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.