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Finding the Fourth Proportional to 382,837.60, 528,310.60 and 213,071.80

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Solution

The fourth proportional to 382,837.60, 528,310.60 and 213,071.80 is: 294,036.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,837.60 : 528,310.60 = 213,071.80 : x
  2. Step 2: Convert to fraction form
    382,837.60/528,310.60 = 213,071.80/x
  3. Step 3: Cross multiply
    382,837.60x = 528,310.60 × 213,071.80
  4. Step 4: Simplify right side
    382,837.60x = 112,568,090,501.08
  5. Step 5: Solve for x
    x = 112,568,090,501.08/382,837.60
  6. Step 6: Final answer
    x = 294,036.14

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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.