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Finding the Fourth Proportional to 429,308.30, 644,006.54 and 113,765.20

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Solution

The fourth proportional to 429,308.30, 644,006.54 and 113,765.20 is: 170,659.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,308.30 : 644,006.54 = 113,765.20 : x
  2. Step 2: Convert to fraction form
    429,308.30/644,006.54 = 113,765.20/x
  3. Step 3: Cross multiply
    429,308.30x = 644,006.54 × 113,765.20
  4. Step 4: Simplify right side
    429,308.30x = 73,265,531,498.80
  5. Step 5: Solve for x
    x = 73,265,531,498.80/429,308.30
  6. Step 6: Final answer
    x = 170,659.48

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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.