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Finding the Fourth Proportional to 304,953.75, 420,310.77 and 202,796.64

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Solution

The fourth proportional to 304,953.75, 420,310.77 and 202,796.64 is: 279,509.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,953.75 : 420,310.77 = 202,796.64 : x
  2. Step 2: Convert to fraction form
    304,953.75/420,310.77 = 202,796.64/x
  3. Step 3: Cross multiply
    304,953.75x = 420,310.77 × 202,796.64
  4. Step 4: Simplify right side
    304,953.75x = 85,237,611,911.81
  5. Step 5: Solve for x
    x = 85,237,611,911.81/304,953.75
  6. Step 6: Final answer
    x = 279,509.96

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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.