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Finding the Fourth Proportional to 353,162.49, 529,222.65 and 208,919.13

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Solution

The fourth proportional to 353,162.49, 529,222.65 and 208,919.13 is: 313,070.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,162.49 : 529,222.65 = 208,919.13 : x
  2. Step 2: Convert to fraction form
    353,162.49/529,222.65 = 208,919.13/x
  3. Step 3: Cross multiply
    353,162.49x = 529,222.65 × 208,919.13
  4. Step 4: Simplify right side
    353,162.49x = 110,564,735,614.30
  5. Step 5: Solve for x
    x = 110,564,735,614.30/353,162.49
  6. Step 6: Final answer
    x = 313,070.44

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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.