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Finding the Fourth Proportional to 298,512.47, 447,767.69 and 121,019.06

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Solution

The fourth proportional to 298,512.47, 447,767.69 and 121,019.06 is: 181,528.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,512.47 : 447,767.69 = 121,019.06 : x
  2. Step 2: Convert to fraction form
    298,512.47/447,767.69 = 121,019.06/x
  3. Step 3: Cross multiply
    298,512.47x = 447,767.69 × 121,019.06
  4. Step 4: Simplify right side
    298,512.47x = 54,188,425,456.50
  5. Step 5: Solve for x
    x = 54,188,425,456.50/298,512.47
  6. Step 6: Final answer
    x = 181,528.18

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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.