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Finding the Fourth Proportional to 303,419.20, 455,474.40 and 178,830.40

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Solution

The fourth proportional to 303,419.20, 455,474.40 and 178,830.40 is: 268,449.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,419.20 : 455,474.40 = 178,830.40 : x
  2. Step 2: Convert to fraction form
    303,419.20/455,474.40 = 178,830.40/x
  3. Step 3: Cross multiply
    303,419.20x = 455,474.40 × 178,830.40
  4. Step 4: Simplify right side
    303,419.20x = 81,452,669,141.76
  5. Step 5: Solve for x
    x = 81,452,669,141.76/303,419.20
  6. Step 6: Final answer
    x = 268,449.29

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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.