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Finding the Fourth Proportional to 429,495.08, 644,325.63 and 163,234.84

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Solution

The fourth proportional to 429,495.08, 644,325.63 and 163,234.84 is: 244,883.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,495.08 : 644,325.63 = 163,234.84 : x
  2. Step 2: Convert to fraction form
    429,495.08/644,325.63 = 163,234.84/x
  3. Step 3: Cross multiply
    429,495.08x = 644,325.63 × 163,234.84
  4. Step 4: Simplify right side
    429,495.08x = 105,176,391,120.95
  5. Step 5: Solve for x
    x = 105,176,391,120.95/429,495.08
  6. Step 6: Final answer
    x = 244,883.81

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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.