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Finding the Fourth Proportional to 314,604.64, 471,440.31 and 231,090.40

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Solution

The fourth proportional to 314,604.64, 471,440.31 and 231,090.40 is: 346,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,604.64 : 471,440.31 = 231,090.40 : x
  2. Step 2: Convert to fraction form
    314,604.64/471,440.31 = 231,090.40/x
  3. Step 3: Cross multiply
    314,604.64x = 471,440.31 × 231,090.40
  4. Step 4: Simplify right side
    314,604.64x = 108,945,329,814.02
  5. Step 5: Solve for x
    x = 108,945,329,814.02/314,604.64
  6. Step 6: Final answer
    x = 346,292.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.