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Finding the Fourth Proportional to 667,009.63, 920,473.09 and 361,085.78

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Solution

The fourth proportional to 667,009.63, 920,473.09 and 361,085.78 is: 498,298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,009.63 : 920,473.09 = 361,085.78 : x
  2. Step 2: Convert to fraction form
    667,009.63/920,473.09 = 361,085.78/x
  3. Step 3: Cross multiply
    667,009.63x = 920,473.09 × 361,085.78
  4. Step 4: Simplify right side
    667,009.63x = 332,369,745,070.13
  5. Step 5: Solve for x
    x = 332,369,745,070.13/667,009.63
  6. Step 6: Final answer
    x = 498,298.27

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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.