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Finding the Fourth Proportional to 355,829.94, 490,996.82 and 212,559.57

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Solution

The fourth proportional to 355,829.94, 490,996.82 and 212,559.57 is: 293,303.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,829.94 : 490,996.82 = 212,559.57 : x
  2. Step 2: Convert to fraction form
    355,829.94/490,996.82 = 212,559.57/x
  3. Step 3: Cross multiply
    355,829.94x = 490,996.82 × 212,559.57
  4. Step 4: Simplify right side
    355,829.94x = 104,366,073,461.97
  5. Step 5: Solve for x
    x = 104,366,073,461.97/355,829.94
  6. Step 6: Final answer
    x = 293,303.24

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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.