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Finding the Fourth Proportional to 256,530.28, 384,845.82 and 79,007.08

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Solution

The fourth proportional to 256,530.28, 384,845.82 and 79,007.08 is: 118,526.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,530.28 : 384,845.82 = 79,007.08 : x
  2. Step 2: Convert to fraction form
    256,530.28/384,845.82 = 79,007.08/x
  3. Step 3: Cross multiply
    256,530.28x = 384,845.82 × 79,007.08
  4. Step 4: Simplify right side
    256,530.28x = 30,405,544,488.41
  5. Step 5: Solve for x
    x = 30,405,544,488.41/256,530.28
  6. Step 6: Final answer
    x = 118,526.14

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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.