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Finding the Fourth Proportional to 289,525.46, 434,112.88 and 129,571.61

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Solution

The fourth proportional to 289,525.46, 434,112.88 and 129,571.61 is: 194,278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,525.46 : 434,112.88 = 129,571.61 : x
  2. Step 2: Convert to fraction form
    289,525.46/434,112.88 = 129,571.61/x
  3. Step 3: Cross multiply
    289,525.46x = 434,112.88 × 129,571.61
  4. Step 4: Simplify right side
    289,525.46x = 56,248,704,783.34
  5. Step 5: Solve for x
    x = 56,248,704,783.34/289,525.46
  6. Step 6: Final answer
    x = 194,278.96

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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.