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Finding the Fourth Proportional to 667,089.78, 920,584.08 and 361,166.10

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Solution

The fourth proportional to 667,089.78, 920,584.08 and 361,166.10 is: 498,409.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,089.78 : 920,584.08 = 361,166.10 : x
  2. Step 2: Convert to fraction form
    667,089.78/920,584.08 = 361,166.10/x
  3. Step 3: Cross multiply
    667,089.78x = 920,584.08 × 361,166.10
  4. Step 4: Simplify right side
    667,089.78x = 332,483,761,895.69
  5. Step 5: Solve for x
    x = 332,483,761,895.69/667,089.78
  6. Step 6: Final answer
    x = 498,409.32

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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.