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Finding the Fourth Proportional to 314,632.85, 434,354.28 and 213,194.39

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Solution

The fourth proportional to 314,632.85, 434,354.28 and 213,194.39 is: 294,317.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,632.85 : 434,354.28 = 213,194.39 : x
  2. Step 2: Convert to fraction form
    314,632.85/434,354.28 = 213,194.39/x
  3. Step 3: Cross multiply
    314,632.85x = 434,354.28 × 213,194.39
  4. Step 4: Simplify right side
    314,632.85x = 92,601,895,768.49
  5. Step 5: Solve for x
    x = 92,601,895,768.49/314,632.85
  6. Step 6: Final answer
    x = 294,317.32

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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.