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Finding the Fourth Proportional to 290,900.98, 401,445.75 and 163,575.46

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Solution

The fourth proportional to 290,900.98, 401,445.75 and 163,575.46 is: 225,735.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,900.98 : 401,445.75 = 163,575.46 : x
  2. Step 2: Convert to fraction form
    290,900.98/401,445.75 = 163,575.46/x
  3. Step 3: Cross multiply
    290,900.98x = 401,445.75 × 163,575.46
  4. Step 4: Simplify right side
    290,900.98x = 65,666,673,221.30
  5. Step 5: Solve for x
    x = 65,666,673,221.30/290,900.98
  6. Step 6: Final answer
    x = 225,735.48

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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.