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Finding the Fourth Proportional to 256,530.78, 384,846.57 and 79,007.58

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Solution

The fourth proportional to 256,530.78, 384,846.57 and 79,007.58 is: 118,526.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,530.78 : 384,846.57 = 79,007.58 : x
  2. Step 2: Convert to fraction form
    256,530.78/384,846.57 = 79,007.58/x
  3. Step 3: Cross multiply
    256,530.78x = 384,846.57 × 79,007.58
  4. Step 4: Simplify right side
    256,530.78x = 30,405,796,167.00
  5. Step 5: Solve for x
    x = 30,405,796,167.00/256,530.78
  6. Step 6: Final answer
    x = 118,526.89

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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.