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Finding the Fourth Proportional to 311,065.78, 429,271.41 and 176,929.78

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Solution

The fourth proportional to 311,065.78, 429,271.41 and 176,929.78 is: 244,163.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,065.78 : 429,271.41 = 176,929.78 : x
  2. Step 2: Convert to fraction form
    311,065.78/429,271.41 = 176,929.78/x
  3. Step 3: Cross multiply
    311,065.78x = 429,271.41 × 176,929.78
  4. Step 4: Simplify right side
    311,065.78x = 75,950,896,131.59
  5. Step 5: Solve for x
    x = 75,950,896,131.59/311,065.78
  6. Step 6: Final answer
    x = 244,163.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.