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Finding the Fourth Proportional to 356,493, 491,960.34 and 213,259.08

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Solution

The fourth proportional to 356,493, 491,960.34 and 213,259.08 is: 294,297.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,493 : 491,960.34 = 213,259.08 : x
  2. Step 2: Convert to fraction form
    356,493/491,960.34 = 213,259.08/x
  3. Step 3: Cross multiply
    356,493x = 491,960.34 × 213,259.08
  4. Step 4: Simplify right side
    356,493x = 104,915,009,504.89
  5. Step 5: Solve for x
    x = 104,915,009,504.89/356,493
  6. Step 6: Final answer
    x = 294,297.53

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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.