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Finding the Fourth Proportional to 289,687.90, 434,575.05 and 102,684.70

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Solution

The fourth proportional to 289,687.90, 434,575.05 and 102,684.70 is: 154,042.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,687.90 : 434,575.05 = 102,684.70 : x
  2. Step 2: Convert to fraction form
    289,687.90/434,575.05 = 102,684.70/x
  3. Step 3: Cross multiply
    289,687.90x = 434,575.05 × 102,684.70
  4. Step 4: Simplify right side
    289,687.90x = 44,624,208,636.74
  5. Step 5: Solve for x
    x = 44,624,208,636.74/289,687.90
  6. Step 6: Final answer
    x = 154,042.36

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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.