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Finding the Fourth Proportional to 231,857.40, 347,786.10 and 212,417.40

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Solution

The fourth proportional to 231,857.40, 347,786.10 and 212,417.40 is: 318,626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,857.40 : 347,786.10 = 212,417.40 : x
  2. Step 2: Convert to fraction form
    231,857.40/347,786.10 = 212,417.40/x
  3. Step 3: Cross multiply
    231,857.40x = 347,786.10 × 212,417.40
  4. Step 4: Simplify right side
    231,857.40x = 73,875,819,118.14
  5. Step 5: Solve for x
    x = 73,875,819,118.14/231,857.40
  6. Step 6: Final answer
    x = 318,626.10

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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.