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Finding the Fourth Proportional to 288,967.84, 398,817.93 and 166,436.67

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Solution

The fourth proportional to 288,967.84, 398,817.93 and 166,436.67 is: 229,706.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,967.84 : 398,817.93 = 166,436.67 : x
  2. Step 2: Convert to fraction form
    288,967.84/398,817.93 = 166,436.67/x
  3. Step 3: Cross multiply
    288,967.84x = 398,817.93 × 166,436.67
  4. Step 4: Simplify right side
    288,967.84x = 66,377,928,205.49
  5. Step 5: Solve for x
    x = 66,377,928,205.49/288,967.84
  6. Step 6: Final answer
    x = 229,706.97

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1.5x scale

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.