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Finding the Fourth Proportional to 290,863.40, 401,462.74 and 177,780.92

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Solution

The fourth proportional to 290,863.40, 401,462.74 and 177,780.92 is: 245,381.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,863.40 : 401,462.74 = 177,780.92 : x
  2. Step 2: Convert to fraction form
    290,863.40/401,462.74 = 177,780.92/x
  3. Step 3: Cross multiply
    290,863.40x = 401,462.74 × 177,780.92
  4. Step 4: Simplify right side
    290,863.40x = 71,372,415,262.92
  5. Step 5: Solve for x
    x = 71,372,415,262.92/290,863.40
  6. Step 6: Final answer
    x = 245,381.22

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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.