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Finding the Fourth Proportional to 303,816.30, 455,724.45 and 185,621.10

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Solution

The fourth proportional to 303,816.30, 455,724.45 and 185,621.10 is: 278,431.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,816.30 : 455,724.45 = 185,621.10 : x
  2. Step 2: Convert to fraction form
    303,816.30/455,724.45 = 185,621.10/x
  3. Step 3: Cross multiply
    303,816.30x = 455,724.45 × 185,621.10
  4. Step 4: Simplify right side
    303,816.30x = 84,592,073,705.90
  5. Step 5: Solve for x
    x = 84,592,073,705.90/303,816.30
  6. Step 6: Final answer
    x = 278,431.65

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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.