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Finding the Fourth Proportional to 289,803.85, 434,655.96 and 76,574.05

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Solution

The fourth proportional to 289,803.85, 434,655.96 and 76,574.05 is: 114,847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,803.85 : 434,655.96 = 76,574.05 : x
  2. Step 2: Convert to fraction form
    289,803.85/434,655.96 = 76,574.05/x
  3. Step 3: Cross multiply
    289,803.85x = 434,655.96 × 76,574.05
  4. Step 4: Simplify right side
    289,803.85x = 33,283,367,213.84
  5. Step 5: Solve for x
    x = 33,283,367,213.84/289,803.85
  6. Step 6: Final answer
    x = 114,847.91

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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.