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Finding the Fourth Proportional to 289,635.60, 434,136.60 and 102,550.80

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Solution

The fourth proportional to 289,635.60, 434,136.60 and 102,550.80 is: 153,714.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,635.60 : 434,136.60 = 102,550.80 : x
  2. Step 2: Convert to fraction form
    289,635.60/434,136.60 = 102,550.80/x
  3. Step 3: Cross multiply
    289,635.60x = 434,136.60 × 102,550.80
  4. Step 4: Simplify right side
    289,635.60x = 44,521,055,639.28
  5. Step 5: Solve for x
    x = 44,521,055,639.28/289,635.60
  6. Step 6: Final answer
    x = 153,714.03

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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.