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Finding the Fourth Proportional to 289,703.10, 434,554.65 and 205,722.30

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Solution

The fourth proportional to 289,703.10, 434,554.65 and 205,722.30 is: 308,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,703.10 : 434,554.65 = 205,722.30 : x
  2. Step 2: Convert to fraction form
    289,703.10/434,554.65 = 205,722.30/x
  3. Step 3: Cross multiply
    289,703.10x = 434,554.65 × 205,722.30
  4. Step 4: Simplify right side
    289,703.10x = 89,397,582,073.70
  5. Step 5: Solve for x
    x = 89,397,582,073.70/289,703.10
  6. Step 6: Final answer
    x = 308,583.45

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Similar ratio
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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.