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Finding the Fourth Proportional to 317,299.83, 437,710.70 and 208,388.54

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Solution

The fourth proportional to 317,299.83, 437,710.70 and 208,388.54 is: 287,469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,299.83 : 437,710.70 = 208,388.54 : x
  2. Step 2: Convert to fraction form
    317,299.83/437,710.70 = 208,388.54/x
  3. Step 3: Cross multiply
    317,299.83x = 437,710.70 × 208,388.54
  4. Step 4: Simplify right side
    317,299.83x = 91,213,890,484.88
  5. Step 5: Solve for x
    x = 91,213,890,484.88/317,299.83
  6. Step 6: Final answer
    x = 287,469.08

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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.