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Finding the Fourth Proportional to 298,907.52, 448,315.05 and 109,323.54

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Solution

The fourth proportional to 298,907.52, 448,315.05 and 109,323.54 is: 163,968.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,907.52 : 448,315.05 = 109,323.54 : x
  2. Step 2: Convert to fraction form
    298,907.52/448,315.05 = 109,323.54/x
  3. Step 3: Cross multiply
    298,907.52x = 448,315.05 × 109,323.54
  4. Step 4: Simplify right side
    298,907.52x = 49,011,388,711.24
  5. Step 5: Solve for x
    x = 49,011,388,711.24/298,907.52
  6. Step 6: Final answer
    x = 163,968.41

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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.