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Finding the Fourth Proportional to 298,269.49, 447,474.30 and 98,589.88

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Solution

The fourth proportional to 298,269.49, 447,474.30 and 98,589.88 is: 147,907.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,269.49 : 447,474.30 = 98,589.88 : x
  2. Step 2: Convert to fraction form
    298,269.49/447,474.30 = 98,589.88/x
  3. Step 3: Cross multiply
    298,269.49x = 447,474.30 × 98,589.88
  4. Step 4: Simplify right side
    298,269.49x = 44,116,437,047.13
  5. Step 5: Solve for x
    x = 44,116,437,047.13/298,269.49
  6. Step 6: Final answer
    x = 147,907.98

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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.