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Finding the Fourth Proportional to 429,995.91, 644,993.98 and 126,390.12

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Solution

The fourth proportional to 429,995.91, 644,993.98 and 126,390.12 is: 189,585.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,995.91 : 644,993.98 = 126,390.12 : x
  2. Step 2: Convert to fraction form
    429,995.91/644,993.98 = 126,390.12/x
  3. Step 3: Cross multiply
    429,995.91x = 644,993.98 × 126,390.12
  4. Step 4: Simplify right side
    429,995.91x = 81,520,863,306.51
  5. Step 5: Solve for x
    x = 81,520,863,306.51/429,995.91
  6. Step 6: Final answer
    x = 189,585.21

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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.