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Finding the Fourth Proportional to 298,270.43, 447,475.72 and 98,590.82

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Solution

The fourth proportional to 298,270.43, 447,475.72 and 98,590.82 is: 147,909.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,270.43 : 447,475.72 = 98,590.82 : x
  2. Step 2: Convert to fraction form
    298,270.43/447,475.72 = 98,590.82/x
  3. Step 3: Cross multiply
    298,270.43x = 447,475.72 × 98,590.82
  4. Step 4: Simplify right side
    298,270.43x = 44,116,998,382.94
  5. Step 5: Solve for x
    x = 44,116,998,382.94/298,270.43
  6. Step 6: Final answer
    x = 147,909.39

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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.