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Finding the Fourth Proportional to 429,470.87, 644,075.08 and 204,712.89

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Solution

The fourth proportional to 429,470.87, 644,075.08 and 204,712.89 is: 307,006.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,470.87 : 644,075.08 = 204,712.89 : x
  2. Step 2: Convert to fraction form
    429,470.87/644,075.08 = 204,712.89/x
  3. Step 3: Cross multiply
    429,470.87x = 644,075.08 × 204,712.89
  4. Step 4: Simplify right side
    429,470.87x = 131,850,469,980.22
  5. Step 5: Solve for x
    x = 131,850,469,980.22/429,470.87
  6. Step 6: Final answer
    x = 307,006.78

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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.