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Finding the Fourth Proportional to 501,144, 691,578.77 and 274,794.36

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Solution

The fourth proportional to 501,144, 691,578.77 and 274,794.36 is: 379,216.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,144 : 691,578.77 = 274,794.36 : x
  2. Step 2: Convert to fraction form
    501,144/691,578.77 = 274,794.36/x
  3. Step 3: Cross multiply
    501,144x = 691,578.77 × 274,794.36
  4. Step 4: Simplify right side
    501,144x = 190,041,944,117.77
  5. Step 5: Solve for x
    x = 190,041,944,117.77/501,144
  6. Step 6: Final answer
    x = 379,216.24

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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.