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Finding the Fourth Proportional to 288,960.84, 398,808.26 and 166,429.67

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Solution

The fourth proportional to 288,960.84, 398,808.26 and 166,429.67 is: 229,697.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,960.84 : 398,808.26 = 166,429.67 : x
  2. Step 2: Convert to fraction form
    288,960.84/398,808.26 = 166,429.67/x
  3. Step 3: Cross multiply
    288,960.84x = 398,808.26 × 166,429.67
  4. Step 4: Simplify right side
    288,960.84x = 66,373,526,960.81
  5. Step 5: Solve for x
    x = 66,373,526,960.81/288,960.84
  6. Step 6: Final answer
    x = 229,697.31

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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.