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Finding the Fourth Proportional to 429,760.26, 644,646.87 and 163,393.38

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Solution

The fourth proportional to 429,760.26, 644,646.87 and 163,393.38 is: 245,092.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,760.26 : 644,646.87 = 163,393.38 : x
  2. Step 2: Convert to fraction form
    429,760.26/644,646.87 = 163,393.38/x
  3. Step 3: Cross multiply
    429,760.26x = 644,646.87 × 163,393.38
  4. Step 4: Simplify right side
    429,760.26x = 105,331,030,995.72
  5. Step 5: Solve for x
    x = 105,331,030,995.72/429,760.26
  6. Step 6: Final answer
    x = 245,092.53

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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.