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Finding the Fourth Proportional to 290,911.98, 401,460.96 and 163,586.46

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Solution

The fourth proportional to 290,911.98, 401,460.96 and 163,586.46 is: 225,750.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,911.98 : 401,460.96 = 163,586.46 : x
  2. Step 2: Convert to fraction form
    290,911.98/401,460.96 = 163,586.46/x
  3. Step 3: Cross multiply
    290,911.98x = 401,460.96 × 163,586.46
  4. Step 4: Simplify right side
    290,911.98x = 65,673,577,274.60
  5. Step 5: Solve for x
    x = 65,673,577,274.60/290,911.98
  6. Step 6: Final answer
    x = 225,750.68

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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.