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Finding the Fourth Proportional to 289,783.46, 434,628.54 and 79,372.19

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Solution

The fourth proportional to 289,783.46, 434,628.54 and 79,372.19 is: 119,045.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,783.46 : 434,628.54 = 79,372.19 : x
  2. Step 2: Convert to fraction form
    289,783.46/434,628.54 = 79,372.19/x
  3. Step 3: Cross multiply
    289,783.46x = 434,628.54 × 79,372.19
  4. Step 4: Simplify right side
    289,783.46x = 34,497,419,056.30
  5. Step 5: Solve for x
    x = 34,497,419,056.30/289,783.46
  6. Step 6: Final answer
    x = 119,045.51

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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.