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Finding the Fourth Proportional to 288,411.28, 398,005.28 and 167,623.26

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Solution

The fourth proportional to 288,411.28, 398,005.28 and 167,623.26 is: 231,318.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,411.28 : 398,005.28 = 167,623.26 : x
  2. Step 2: Convert to fraction form
    288,411.28/398,005.28 = 167,623.26/x
  3. Step 3: Cross multiply
    288,411.28x = 398,005.28 × 167,623.26
  4. Step 4: Simplify right side
    288,411.28x = 66,714,942,530.81
  5. Step 5: Solve for x
    x = 66,714,942,530.81/288,411.28
  6. Step 6: Final answer
    x = 231,318.77

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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.