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Finding the Fourth Proportional to 429,957.60, 644,936.40 and 163,629.60

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Solution

The fourth proportional to 429,957.60, 644,936.40 and 163,629.60 is: 245,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,957.60 : 644,936.40 = 163,629.60 : x
  2. Step 2: Convert to fraction form
    429,957.60/644,936.40 = 163,629.60/x
  3. Step 3: Cross multiply
    429,957.60x = 644,936.40 × 163,629.60
  4. Step 4: Simplify right side
    429,957.60x = 105,530,685,157.44
  5. Step 5: Solve for x
    x = 105,530,685,157.44/429,957.60
  6. Step 6: Final answer
    x = 245,444.40

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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.