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Finding the Fourth Proportional to 429,680.56, 644,565.48 and 205,003.12

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Solution

The fourth proportional to 429,680.56, 644,565.48 and 205,003.12 is: 307,525.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,680.56 : 644,565.48 = 205,003.12 : x
  2. Step 2: Convert to fraction form
    429,680.56/644,565.48 = 205,003.12/x
  3. Step 3: Cross multiply
    429,680.56x = 644,565.48 × 205,003.12
  4. Step 4: Simplify right side
    429,680.56x = 132,137,934,444.30
  5. Step 5: Solve for x
    x = 132,137,934,444.30/429,680.56
  6. Step 6: Final answer
    x = 307,525.98

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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.