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Finding the Fourth Proportional to 380,202.77, 524,796.72 and 219,165.44

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Solution

The fourth proportional to 380,202.77, 524,796.72 and 219,165.44 is: 302,515.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,202.77 : 524,796.72 = 219,165.44 : x
  2. Step 2: Convert to fraction form
    380,202.77/524,796.72 = 219,165.44/x
  3. Step 3: Cross multiply
    380,202.77x = 524,796.72 × 219,165.44
  4. Step 4: Simplify right side
    380,202.77x = 115,017,304,049.36
  5. Step 5: Solve for x
    x = 115,017,304,049.36/380,202.77
  6. Step 6: Final answer
    x = 302,515.69

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1.5x scale

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.