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Finding the Fourth Proportional to 429,889.73, 644,840.79 and 163,664.85

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Solution

The fourth proportional to 429,889.73, 644,840.79 and 163,664.85 is: 245,499.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,889.73 : 644,840.79 = 163,664.85 : x
  2. Step 2: Convert to fraction form
    429,889.73/644,840.79 = 163,664.85/x
  3. Step 3: Cross multiply
    429,889.73x = 644,840.79 × 163,664.85
  4. Step 4: Simplify right side
    429,889.73x = 105,537,771,169.23
  5. Step 5: Solve for x
    x = 105,537,771,169.23/429,889.73
  6. Step 6: Final answer
    x = 245,499.63

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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.