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Finding the Fourth Proportional to 298,269.20, 447,403.80 and 101,277.20

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Solution

The fourth proportional to 298,269.20, 447,403.80 and 101,277.20 is: 151,915.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,269.20 : 447,403.80 = 101,277.20 : x
  2. Step 2: Convert to fraction form
    298,269.20/447,403.80 = 101,277.20/x
  3. Step 3: Cross multiply
    298,269.20x = 447,403.80 × 101,277.20
  4. Step 4: Simplify right side
    298,269.20x = 45,311,804,133.36
  5. Step 5: Solve for x
    x = 45,311,804,133.36/298,269.20
  6. Step 6: Final answer
    x = 151,915.80

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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.