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Finding the Fourth Proportional to 298,269.82, 447,474.80 and 98,590.21

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Solution

The fourth proportional to 298,269.82, 447,474.80 and 98,590.21 is: 147,908.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,269.82 : 447,474.80 = 98,590.21 : x
  2. Step 2: Convert to fraction form
    298,269.82/447,474.80 = 98,590.21/x
  3. Step 3: Cross multiply
    298,269.82x = 447,474.80 × 98,590.21
  4. Step 4: Simplify right side
    298,269.82x = 44,116,634,328.08
  5. Step 5: Solve for x
    x = 44,116,634,328.08/298,269.82
  6. Step 6: Final answer
    x = 147,908.48

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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.