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Finding the Fourth Proportional to 667,102.80, 920,602.04 and 361,179.12

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Solution

The fourth proportional to 667,102.80, 920,602.04 and 361,179.12 is: 498,427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,102.80 : 920,602.04 = 361,179.12 : x
  2. Step 2: Convert to fraction form
    667,102.80/920,602.04 = 361,179.12/x
  3. Step 3: Cross multiply
    667,102.80x = 920,602.04 × 361,179.12
  4. Step 4: Simplify right side
    667,102.80x = 332,502,234,677.41
  5. Step 5: Solve for x
    x = 332,502,234,677.41/667,102.80
  6. Step 6: Final answer
    x = 498,427.28

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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.