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Finding the Fourth Proportional to 314,085.60, 433,481.04 and 213,516

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Solution

The fourth proportional to 314,085.60, 433,481.04 and 213,516 is: 294,681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,085.60 : 433,481.04 = 213,516 : x
  2. Step 2: Convert to fraction form
    314,085.60/433,481.04 = 213,516/x
  3. Step 3: Cross multiply
    314,085.60x = 433,481.04 × 213,516
  4. Step 4: Simplify right side
    314,085.60x = 92,555,137,736.64
  5. Step 5: Solve for x
    x = 92,555,137,736.64/314,085.60
  6. Step 6: Final answer
    x = 294,681.25

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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.