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Finding the Fourth Proportional to 304,406.64, 420,079.56 and 175,297.88

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Solution

The fourth proportional to 304,406.64, 420,079.56 and 175,297.88 is: 241,910.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,406.64 : 420,079.56 = 175,297.88 : x
  2. Step 2: Convert to fraction form
    304,406.64/420,079.56 = 175,297.88/x
  3. Step 3: Cross multiply
    304,406.64x = 420,079.56 × 175,297.88
  4. Step 4: Simplify right side
    304,406.64x = 73,639,056,299.33
  5. Step 5: Solve for x
    x = 73,639,056,299.33/304,406.64
  6. Step 6: Final answer
    x = 241,910.15

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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.