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Finding the Fourth Proportional to 356,507.46, 491,933.52 and 213,215.22

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Solution

The fourth proportional to 356,507.46, 491,933.52 and 213,215.22 is: 294,209.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,507.46 : 491,933.52 = 213,215.22 : x
  2. Step 2: Convert to fraction form
    356,507.46/491,933.52 = 213,215.22/x
  3. Step 3: Cross multiply
    356,507.46x = 491,933.52 × 213,215.22
  4. Step 4: Simplify right side
    356,507.46x = 104,887,713,692.17
  5. Step 5: Solve for x
    x = 104,887,713,692.17/356,507.46
  6. Step 6: Final answer
    x = 294,209.03

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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.