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Finding the Fourth Proportional to 314,634.60, 434,356.70 and 213,196.14

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Solution

The fourth proportional to 314,634.60, 434,356.70 and 213,196.14 is: 294,319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,634.60 : 434,356.70 = 213,196.14 : x
  2. Step 2: Convert to fraction form
    314,634.60/434,356.70 = 213,196.14/x
  3. Step 3: Cross multiply
    314,634.60x = 434,356.70 × 213,196.14
  4. Step 4: Simplify right side
    314,634.60x = 92,603,170,757.16
  5. Step 5: Solve for x
    x = 92,603,170,757.16/314,634.60
  6. Step 6: Final answer
    x = 294,319.73

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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.