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Finding the Fourth Proportional to 369,175.71, 509,462.47 and 199,409.84

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Solution

The fourth proportional to 369,175.71, 509,462.47 and 199,409.84 is: 275,185.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,175.71 : 509,462.47 = 199,409.84 : x
  2. Step 2: Convert to fraction form
    369,175.71/509,462.47 = 199,409.84/x
  3. Step 3: Cross multiply
    369,175.71x = 509,462.47 × 199,409.84
  4. Step 4: Simplify right side
    369,175.71x = 101,591,826,582.87
  5. Step 5: Solve for x
    x = 101,591,826,582.87/369,175.71
  6. Step 6: Final answer
    x = 275,185.57

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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.