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Finding the Fourth Proportional to 429,853.65, 644,780.48 and 330,205.65

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Solution

The fourth proportional to 429,853.65, 644,780.48 and 330,205.65 is: 495,308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,853.65 : 644,780.48 = 330,205.65 : x
  2. Step 2: Convert to fraction form
    429,853.65/644,780.48 = 330,205.65/x
  3. Step 3: Cross multiply
    429,853.65x = 644,780.48 × 330,205.65
  4. Step 4: Simplify right side
    429,853.65x = 212,910,155,854.68
  5. Step 5: Solve for x
    x = 212,910,155,854.68/429,853.65
  6. Step 6: Final answer
    x = 495,308.48

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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.