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Finding the Fourth Proportional to 289,877.28, 434,817.20 and 79,517.60

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Solution

The fourth proportional to 289,877.28, 434,817.20 and 79,517.60 is: 119,276.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,877.28 : 434,817.20 = 79,517.60 : x
  2. Step 2: Convert to fraction form
    289,877.28/434,817.20 = 79,517.60/x
  3. Step 3: Cross multiply
    289,877.28x = 434,817.20 × 79,517.60
  4. Step 4: Simplify right side
    289,877.28x = 34,575,620,182.72
  5. Step 5: Solve for x
    x = 34,575,620,182.72/289,877.28
  6. Step 6: Final answer
    x = 119,276.75

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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.