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Finding the Fourth Proportional to 429,740.02, 644,427.78 and 204,840.28

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Solution

The fourth proportional to 429,740.02, 644,427.78 and 204,840.28 is: 307,173.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,740.02 : 644,427.78 = 204,840.28 : x
  2. Step 2: Convert to fraction form
    429,740.02/644,427.78 = 204,840.28/x
  3. Step 3: Cross multiply
    429,740.02x = 644,427.78 × 204,840.28
  4. Step 4: Simplify right side
    429,740.02x = 132,004,766,894.98
  5. Step 5: Solve for x
    x = 132,004,766,894.98/429,740.02
  6. Step 6: Final answer
    x = 307,173.55

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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.