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Finding the Fourth Proportional to 256,946.92, 385,400.94 and 79,455.04

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Solution

The fourth proportional to 256,946.92, 385,400.94 and 79,455.04 is: 119,176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,946.92 : 385,400.94 = 79,455.04 : x
  2. Step 2: Convert to fraction form
    256,946.92/385,400.94 = 79,455.04/x
  3. Step 3: Cross multiply
    256,946.92x = 385,400.94 × 79,455.04
  4. Step 4: Simplify right side
    256,946.92x = 30,622,047,103.74
  5. Step 5: Solve for x
    x = 30,622,047,103.74/256,946.92
  6. Step 6: Final answer
    x = 119,176.55

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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.