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Finding the Fourth Proportional to 389,591.42, 537,940.49 and 298,803.58

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Solution

The fourth proportional to 389,591.42, 537,940.49 and 298,803.58 is: 412,582.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,591.42 : 537,940.49 = 298,803.58 : x
  2. Step 2: Convert to fraction form
    389,591.42/537,940.49 = 298,803.58/x
  3. Step 3: Cross multiply
    389,591.42x = 537,940.49 × 298,803.58
  4. Step 4: Simplify right side
    389,591.42x = 160,738,546,106.77
  5. Step 5: Solve for x
    x = 160,738,546,106.77/389,591.42
  6. Step 6: Final answer
    x = 412,582.36

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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.