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Finding the Fourth Proportional to 290,967.96, 401,531.58 and 163,643.55

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Solution

The fourth proportional to 290,967.96, 401,531.58 and 163,643.55 is: 225,825.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,967.96 : 401,531.58 = 163,643.55 : x
  2. Step 2: Convert to fraction form
    290,967.96/401,531.58 = 163,643.55/x
  3. Step 3: Cross multiply
    290,967.96x = 401,531.58 × 163,643.55
  4. Step 4: Simplify right side
    290,967.96x = 65,708,053,188.31
  5. Step 5: Solve for x
    x = 65,708,053,188.31/290,967.96
  6. Step 6: Final answer
    x = 225,825.73

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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.