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Finding the Fourth Proportional to 287,546.81, 431,512.18 and 100,558.31

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Solution

The fourth proportional to 287,546.81, 431,512.18 and 100,558.31 is: 150,904.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,546.81 : 431,512.18 = 100,558.31 : x
  2. Step 2: Convert to fraction form
    287,546.81/431,512.18 = 100,558.31/x
  3. Step 3: Cross multiply
    287,546.81x = 431,512.18 × 100,558.31
  4. Step 4: Simplify right side
    287,546.81x = 43,392,133,156.26
  5. Step 5: Solve for x
    x = 43,392,133,156.26/287,546.81
  6. Step 6: Final answer
    x = 150,904.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.