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Finding the Fourth Proportional to 303,820.32, 419,243.76 and 176,494.08

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Solution

The fourth proportional to 303,820.32, 419,243.76 and 176,494.08 is: 243,545.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,820.32 : 419,243.76 = 176,494.08 : x
  2. Step 2: Convert to fraction form
    303,820.32/419,243.76 = 176,494.08/x
  3. Step 3: Cross multiply
    303,820.32x = 419,243.76 × 176,494.08
  4. Step 4: Simplify right side
    303,820.32x = 73,994,041,716.94
  5. Step 5: Solve for x
    x = 73,994,041,716.94/303,820.32
  6. Step 6: Final answer
    x = 243,545.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.