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Finding the Fourth Proportional to 298,718.96, 448,061.99 and 121,178.30

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Solution

The fourth proportional to 298,718.96, 448,061.99 and 121,178.30 is: 181,760.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,718.96 : 448,061.99 = 121,178.30 : x
  2. Step 2: Convert to fraction form
    298,718.96/448,061.99 = 121,178.30/x
  3. Step 3: Cross multiply
    298,718.96x = 448,061.99 × 121,178.30
  4. Step 4: Simplify right side
    298,718.96x = 54,295,387,396.62
  5. Step 5: Solve for x
    x = 54,295,387,396.62/298,718.96
  6. Step 6: Final answer
    x = 181,760.77

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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.