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Finding the Fourth Proportional to 383,200, 528,832.16 and 213,434.08

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Solution

The fourth proportional to 383,200, 528,832.16 and 213,434.08 is: 294,548.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,200 : 528,832.16 = 213,434.08 : x
  2. Step 2: Convert to fraction form
    383,200/528,832.16 = 213,434.08/x
  3. Step 3: Cross multiply
    383,200x = 528,832.16 × 213,434.08
  4. Step 4: Simplify right side
    383,200x = 112,870,805,544.01
  5. Step 5: Solve for x
    x = 112,870,805,544.01/383,200
  6. Step 6: Final answer
    x = 294,548.03

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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.