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Finding the Fourth Proportional to 288,905.13, 398,606.27 and 166,374.81

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Solution

The fourth proportional to 288,905.13, 398,606.27 and 166,374.81 is: 229,549.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,905.13 : 398,606.27 = 166,374.81 : x
  2. Step 2: Convert to fraction form
    288,905.13/398,606.27 = 166,374.81/x
  3. Step 3: Cross multiply
    288,905.13x = 398,606.27 × 166,374.81
  4. Step 4: Simplify right side
    288,905.13x = 66,318,041,604.18
  5. Step 5: Solve for x
    x = 66,318,041,604.18/288,905.13
  6. Step 6: Final answer
    x = 229,549.55

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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.