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Finding the Fourth Proportional to 429,400.30, 643,906.05 and 163,072.30

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Solution

The fourth proportional to 429,400.30, 643,906.05 and 163,072.30 is: 244,534.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,400.30 : 643,906.05 = 163,072.30 : x
  2. Step 2: Convert to fraction form
    429,400.30/643,906.05 = 163,072.30/x
  3. Step 3: Cross multiply
    429,400.30x = 643,906.05 × 163,072.30
  4. Step 4: Simplify right side
    429,400.30x = 105,003,240,557.42
  5. Step 5: Solve for x
    x = 105,003,240,557.42/429,400.30
  6. Step 6: Final answer
    x = 244,534.62

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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.