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Finding the Fourth Proportional to 290,902.98, 401,448.52 and 163,577.46

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Solution

The fourth proportional to 290,902.98, 401,448.52 and 163,577.46 is: 225,738.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,902.98 : 401,448.52 = 163,577.46 : x
  2. Step 2: Convert to fraction form
    290,902.98/401,448.52 = 163,577.46/x
  3. Step 3: Cross multiply
    290,902.98x = 401,448.52 × 163,577.46
  4. Step 4: Simplify right side
    290,902.98x = 65,667,929,222.36
  5. Step 5: Solve for x
    x = 65,667,929,222.36/290,902.98
  6. Step 6: Final answer
    x = 225,738.25

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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.