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Finding the Fourth Proportional to 339,950.16, 469,047.24 and 212,562

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Solution

The fourth proportional to 339,950.16, 469,047.24 and 212,562 is: 293,283.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,950.16 : 469,047.24 = 212,562 : x
  2. Step 2: Convert to fraction form
    339,950.16/469,047.24 = 212,562/x
  3. Step 3: Cross multiply
    339,950.16x = 469,047.24 × 212,562
  4. Step 4: Simplify right side
    339,950.16x = 99,701,619,428.88
  5. Step 5: Solve for x
    x = 99,701,619,428.88/339,950.16
  6. Step 6: Final answer
    x = 293,283.05

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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.