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Finding the Fourth Proportional to 278,458.40, 417,687.60 and 200,309.60

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Solution

The fourth proportional to 278,458.40, 417,687.60 and 200,309.60 is: 300,464.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,458.40 : 417,687.60 = 200,309.60 : x
  2. Step 2: Convert to fraction form
    278,458.40/417,687.60 = 200,309.60/x
  3. Step 3: Cross multiply
    278,458.40x = 417,687.60 × 200,309.60
  4. Step 4: Simplify right side
    278,458.40x = 83,666,836,080.96
  5. Step 5: Solve for x
    x = 83,666,836,080.96/278,458.40
  6. Step 6: Final answer
    x = 300,464.40

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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.