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Finding the Fourth Proportional to 429,766.36, 644,649.52 and 163,465.36

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Solution

The fourth proportional to 429,766.36, 644,649.52 and 163,465.36 is: 245,198.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,766.36 : 644,649.52 = 163,465.36 : x
  2. Step 2: Convert to fraction form
    429,766.36/644,649.52 = 163,465.36/x
  3. Step 3: Cross multiply
    429,766.36x = 644,649.52 × 163,465.36
  4. Step 4: Simplify right side
    429,766.36x = 105,377,865,860.63
  5. Step 5: Solve for x
    x = 105,377,865,860.63/429,766.36
  6. Step 6: Final answer
    x = 245,198.03

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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.