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Finding the Fourth Proportional to 289,802.85, 434,654.46 and 76,573.05

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Solution

The fourth proportional to 289,802.85, 434,654.46 and 76,573.05 is: 114,846.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,802.85 : 434,654.46 = 76,573.05 : x
  2. Step 2: Convert to fraction form
    289,802.85/434,654.46 = 76,573.05/x
  3. Step 3: Cross multiply
    289,802.85x = 434,654.46 × 76,573.05
  4. Step 4: Simplify right side
    289,802.85x = 33,282,817,698.30
  5. Step 5: Solve for x
    x = 33,282,817,698.30/289,802.85
  6. Step 6: Final answer
    x = 114,846.41

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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.