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Finding the Fourth Proportional to 290,137.95, 435,365.79 and 112,651.97

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Solution

The fourth proportional to 290,137.95, 435,365.79 and 112,651.97 is: 169,039.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,137.95 : 435,365.79 = 112,651.97 : x
  2. Step 2: Convert to fraction form
    290,137.95/435,365.79 = 112,651.97/x
  3. Step 3: Cross multiply
    290,137.95x = 435,365.79 × 112,651.97
  4. Step 4: Simplify right side
    290,137.95x = 49,044,811,314.83
  5. Step 5: Solve for x
    x = 49,044,811,314.83/290,137.95
  6. Step 6: Final answer
    x = 169,039.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.