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Finding the Fourth Proportional to 287,896.80, 397,296.24 and 158,831.76

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Solution

The fourth proportional to 287,896.80, 397,296.24 and 158,831.76 is: 219,187.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,896.80 : 397,296.24 = 158,831.76 : x
  2. Step 2: Convert to fraction form
    287,896.80/397,296.24 = 158,831.76/x
  3. Step 3: Cross multiply
    287,896.80x = 397,296.24 × 158,831.76
  4. Step 4: Simplify right side
    287,896.80x = 63,103,261,040.58
  5. Step 5: Solve for x
    x = 63,103,261,040.58/287,896.80
  6. Step 6: Final answer
    x = 219,187.09

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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.