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Finding the Fourth Proportional to 356,378.12, 491,801.79 and 213,138.16

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Solution

The fourth proportional to 356,378.12, 491,801.79 and 213,138.16 is: 294,130.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,378.12 : 491,801.79 = 213,138.16 : x
  2. Step 2: Convert to fraction form
    356,378.12/491,801.79 = 213,138.16/x
  3. Step 3: Cross multiply
    356,378.12x = 491,801.79 × 213,138.16
  4. Step 4: Simplify right side
    356,378.12x = 104,821,728,605.31
  5. Step 5: Solve for x
    x = 104,821,728,605.31/356,378.12
  6. Step 6: Final answer
    x = 294,130.65

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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.