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Finding the Fourth Proportional to 287,940.56, 431,913.72 and 100,956.56

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Solution

The fourth proportional to 287,940.56, 431,913.72 and 100,956.56 is: 151,435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,940.56 : 431,913.72 = 100,956.56 : x
  2. Step 2: Convert to fraction form
    287,940.56/431,913.72 = 100,956.56/x
  3. Step 3: Cross multiply
    287,940.56x = 431,913.72 × 100,956.56
  4. Step 4: Simplify right side
    287,940.56x = 43,604,523,388.00
  5. Step 5: Solve for x
    x = 43,604,523,388.00/287,940.56
  6. Step 6: Final answer
    x = 151,435.85

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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.