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Finding the Fourth Proportional to 429,471.12, 644,075.45 and 204,713.14

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Solution

The fourth proportional to 429,471.12, 644,075.45 and 204,713.14 is: 307,007.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,471.12 : 644,075.45 = 204,713.14 : x
  2. Step 2: Convert to fraction form
    429,471.12/644,075.45 = 204,713.14/x
  3. Step 3: Cross multiply
    429,471.12x = 644,075.45 × 204,713.14
  4. Step 4: Simplify right side
    429,471.12x = 131,850,707,766.41
  5. Step 5: Solve for x
    x = 131,850,707,766.41/429,471.12
  6. Step 6: Final answer
    x = 307,007.16

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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.