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Finding the Fourth Proportional to 298,513.19, 447,768.77 and 121,019.78

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Solution

The fourth proportional to 298,513.19, 447,768.77 and 121,019.78 is: 181,529.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,513.19 : 447,768.77 = 121,019.78 : x
  2. Step 2: Convert to fraction form
    298,513.19/447,768.77 = 121,019.78/x
  3. Step 3: Cross multiply
    298,513.19x = 447,768.77 × 121,019.78
  4. Step 4: Simplify right side
    298,513.19x = 54,188,878,036.27
  5. Step 5: Solve for x
    x = 54,188,878,036.27/298,513.19
  6. Step 6: Final answer
    x = 181,529.26

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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.