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Finding the Fourth Proportional to 382,870.88, 528,379.50 and 213,116

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Solution

The fourth proportional to 382,870.88, 528,379.50 and 213,116 is: 294,109.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,870.88 : 528,379.50 = 213,116 : x
  2. Step 2: Convert to fraction form
    382,870.88/528,379.50 = 213,116/x
  3. Step 3: Cross multiply
    382,870.88x = 528,379.50 × 213,116
  4. Step 4: Simplify right side
    382,870.88x = 112,606,125,522
  5. Step 5: Solve for x
    x = 112,606,125,522/382,870.88
  6. Step 6: Final answer
    x = 294,109.92

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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.