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Finding the Fourth Proportional to 288,476.31, 398,079.75 and 159,411.81

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Solution

The fourth proportional to 288,476.31, 398,079.75 and 159,411.81 is: 219,978.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,476.31 : 398,079.75 = 159,411.81 : x
  2. Step 2: Convert to fraction form
    288,476.31/398,079.75 = 159,411.81/x
  3. Step 3: Cross multiply
    288,476.31x = 398,079.75 × 159,411.81
  4. Step 4: Simplify right side
    288,476.31x = 63,458,613,471.85
  5. Step 5: Solve for x
    x = 63,458,613,471.85/288,476.31
  6. Step 6: Final answer
    x = 219,978.60

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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.