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Finding the Fourth Proportional to 353,161.98, 529,221.90 and 208,918.64

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Solution

The fourth proportional to 353,161.98, 529,221.90 and 208,918.64 is: 313,069.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,161.98 : 529,221.90 = 208,918.64 : x
  2. Step 2: Convert to fraction form
    353,161.98/529,221.90 = 208,918.64/x
  3. Step 3: Cross multiply
    353,161.98x = 529,221.90 × 208,918.64
  4. Step 4: Simplify right side
    353,161.98x = 110,564,319,606.22
  5. Step 5: Solve for x
    x = 110,564,319,606.22/353,161.98
  6. Step 6: Final answer
    x = 313,069.71

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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.