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Finding the Fourth Proportional to 298,047.71, 447,085.20 and 98,385.41

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Solution

The fourth proportional to 298,047.71, 447,085.20 and 98,385.41 is: 147,582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,047.71 : 447,085.20 = 98,385.41 : x
  2. Step 2: Convert to fraction form
    298,047.71/447,085.20 = 98,385.41/x
  3. Step 3: Cross multiply
    298,047.71x = 447,085.20 × 98,385.41
  4. Step 4: Simplify right side
    298,047.71x = 43,986,660,706.93
  5. Step 5: Solve for x
    x = 43,986,660,706.93/298,047.71
  6. Step 6: Final answer
    x = 147,582.62

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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.