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Finding the Fourth Proportional to 382,874.68, 528,367.08 and 213,105.16

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Solution

The fourth proportional to 382,874.68, 528,367.08 and 213,105.16 is: 294,085.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,874.68 : 528,367.08 = 213,105.16 : x
  2. Step 2: Convert to fraction form
    382,874.68/528,367.08 = 213,105.16/x
  3. Step 3: Cross multiply
    382,874.68x = 528,367.08 × 213,105.16
  4. Step 4: Simplify right side
    382,874.68x = 112,597,751,122.13
  5. Step 5: Solve for x
    x = 112,597,751,122.13/382,874.68
  6. Step 6: Final answer
    x = 294,085.13

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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.