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Finding the Fourth Proportional to 298,959.11, 448,436.76 and 109,432.67

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Solution

The fourth proportional to 298,959.11, 448,436.76 and 109,432.67 is: 164,148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,959.11 : 448,436.76 = 109,432.67 : x
  2. Step 2: Convert to fraction form
    298,959.11/448,436.76 = 109,432.67/x
  3. Step 3: Cross multiply
    298,959.11x = 448,436.76 × 109,432.67
  4. Step 4: Simplify right side
    298,959.11x = 49,073,632,820.46
  5. Step 5: Solve for x
    x = 49,073,632,820.46/298,959.11
  6. Step 6: Final answer
    x = 164,148.31

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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.