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Finding the Fourth Proportional to 382,967.28, 528,504.12 and 213,212.88

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Solution

The fourth proportional to 382,967.28, 528,504.12 and 213,212.88 is: 294,238.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,967.28 : 528,504.12 = 213,212.88 : x
  2. Step 2: Convert to fraction form
    382,967.28/528,504.12 = 213,212.88/x
  3. Step 3: Cross multiply
    382,967.28x = 528,504.12 × 213,212.88
  4. Step 4: Simplify right side
    382,967.28x = 112,683,885,517.07
  5. Step 5: Solve for x
    x = 112,683,885,517.07/382,967.28
  6. Step 6: Final answer
    x = 294,238.94

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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.