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Finding the Fourth Proportional to 429,800.50, 644,449.02 and 163,580.68

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Solution

The fourth proportional to 429,800.50, 644,449.02 and 163,580.68 is: 245,275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,800.50 : 644,449.02 = 163,580.68 : x
  2. Step 2: Convert to fraction form
    429,800.50/644,449.02 = 163,580.68/x
  3. Step 3: Cross multiply
    429,800.50x = 644,449.02 × 163,580.68
  4. Step 4: Simplify right side
    429,800.50x = 105,419,408,916.93
  5. Step 5: Solve for x
    x = 105,419,408,916.93/429,800.50
  6. Step 6: Final answer
    x = 245,275.21

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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.