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Finding the Fourth Proportional to 429,805.20, 644,999.40 and 279,679.80

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Solution

The fourth proportional to 429,805.20, 644,999.40 and 279,679.80 is: 419,709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,805.20 : 644,999.40 = 279,679.80 : x
  2. Step 2: Convert to fraction form
    429,805.20/644,999.40 = 279,679.80/x
  3. Step 3: Cross multiply
    429,805.20x = 644,999.40 × 279,679.80
  4. Step 4: Simplify right side
    429,805.20x = 180,393,303,192.12
  5. Step 5: Solve for x
    x = 180,393,303,192.12/429,805.20
  6. Step 6: Final answer
    x = 419,709.45

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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.