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Finding the Fourth Proportional to 314,635.60, 434,358.08 and 213,197.14

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Solution

The fourth proportional to 314,635.60, 434,358.08 and 213,197.14 is: 294,321.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,635.60 : 434,358.08 = 213,197.14 : x
  2. Step 2: Convert to fraction form
    314,635.60/434,358.08 = 213,197.14/x
  3. Step 3: Cross multiply
    314,635.60x = 434,358.08 × 213,197.14
  4. Step 4: Simplify right side
    314,635.60x = 92,603,900,391.89
  5. Step 5: Solve for x
    x = 92,603,900,391.89/314,635.60
  6. Step 6: Final answer
    x = 294,321.11

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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.