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Finding the Fourth Proportional to 298,590.78, 447,949.34 and 98,899.86

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Solution

The fourth proportional to 298,590.78, 447,949.34 and 98,899.86 is: 148,370.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,590.78 : 447,949.34 = 98,899.86 : x
  2. Step 2: Convert to fraction form
    298,590.78/447,949.34 = 98,899.86/x
  3. Step 3: Cross multiply
    298,590.78x = 447,949.34 × 98,899.86
  4. Step 4: Simplify right side
    298,590.78x = 44,302,127,013.09
  5. Step 5: Solve for x
    x = 44,302,127,013.09/298,590.78
  6. Step 6: Final answer
    x = 148,370.71

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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.