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Finding the Fourth Proportional to 298,392.54, 447,590.03 and 120,902.91

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Solution

The fourth proportional to 298,392.54, 447,590.03 and 120,902.91 is: 181,354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,392.54 : 447,590.03 = 120,902.91 : x
  2. Step 2: Convert to fraction form
    298,392.54/447,590.03 = 120,902.91/x
  3. Step 3: Cross multiply
    298,392.54x = 447,590.03 × 120,902.91
  4. Step 4: Simplify right side
    298,392.54x = 54,114,936,509.47
  5. Step 5: Solve for x
    x = 54,114,936,509.47/298,392.54
  6. Step 6: Final answer
    x = 181,354.86

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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.