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Finding the Fourth Proportional to 289,051.50, 398,891.08 and 161,751.70

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Solution

The fourth proportional to 289,051.50, 398,891.08 and 161,751.70 is: 223,217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,051.50 : 398,891.08 = 161,751.70 : x
  2. Step 2: Convert to fraction form
    289,051.50/398,891.08 = 161,751.70/x
  3. Step 3: Cross multiply
    289,051.50x = 398,891.08 × 161,751.70
  4. Step 4: Simplify right side
    289,051.50x = 64,521,310,304.84
  5. Step 5: Solve for x
    x = 64,521,310,304.84/289,051.50
  6. Step 6: Final answer
    x = 223,217.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.