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Finding the Fourth Proportional to 429,157.44, 643,736.14 and 228,871.02

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Solution

The fourth proportional to 429,157.44, 643,736.14 and 228,871.02 is: 343,306.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,157.44 : 643,736.14 = 228,871.02 : x
  2. Step 2: Convert to fraction form
    429,157.44/643,736.14 = 228,871.02/x
  3. Step 3: Cross multiply
    429,157.44x = 643,736.14 × 228,871.02
  4. Step 4: Simplify right side
    429,157.44x = 147,332,546,972.66
  5. Step 5: Solve for x
    x = 147,332,546,972.66/429,157.44
  6. Step 6: Final answer
    x = 343,306.52

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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.