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Finding the Fourth Proportional to 290,595.75, 401,026.92 and 159,778.94

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Solution

The fourth proportional to 290,595.75, 401,026.92 and 159,778.94 is: 220,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,595.75 : 401,026.92 = 159,778.94 : x
  2. Step 2: Convert to fraction form
    290,595.75/401,026.92 = 159,778.94/x
  3. Step 3: Cross multiply
    290,595.75x = 401,026.92 × 159,778.94
  4. Step 4: Simplify right side
    290,595.75x = 64,075,654,183.93
  5. Step 5: Solve for x
    x = 64,075,654,183.93/290,595.75
  6. Step 6: Final answer
    x = 220,497.56

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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.