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Finding the Fourth Proportional to 252,046.40, 378,069.60 and 228,718.40

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Solution

The fourth proportional to 252,046.40, 378,069.60 and 228,718.40 is: 343,077.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,046.40 : 378,069.60 = 228,718.40 : x
  2. Step 2: Convert to fraction form
    252,046.40/378,069.60 = 228,718.40/x
  3. Step 3: Cross multiply
    252,046.40x = 378,069.60 × 228,718.40
  4. Step 4: Simplify right side
    252,046.40x = 86,471,474,000.64
  5. Step 5: Solve for x
    x = 86,471,474,000.64/252,046.40
  6. Step 6: Final answer
    x = 343,077.60

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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.