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Finding the Fourth Proportional to 289,063.35, 398,907.72 and 161,738.64

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Solution

The fourth proportional to 289,063.35, 398,907.72 and 161,738.64 is: 223,199.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,063.35 : 398,907.72 = 161,738.64 : x
  2. Step 2: Convert to fraction form
    289,063.35/398,907.72 = 161,738.64/x
  3. Step 3: Cross multiply
    289,063.35x = 398,907.72 × 161,738.64
  4. Step 4: Simplify right side
    289,063.35x = 64,518,792,118.30
  5. Step 5: Solve for x
    x = 64,518,792,118.30/289,063.35
  6. Step 6: Final answer
    x = 223,199.49

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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.