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Finding the Fourth Proportional to 256,911.33, 384,868.49 and 189,320.74

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Solution

The fourth proportional to 256,911.33, 384,868.49 and 189,320.74 is: 283,613.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,911.33 : 384,868.49 = 189,320.74 : x
  2. Step 2: Convert to fraction form
    256,911.33/384,868.49 = 189,320.74/x
  3. Step 3: Cross multiply
    256,911.33x = 384,868.49 × 189,320.74
  4. Step 4: Simplify right side
    256,911.33x = 72,863,587,329.48
  5. Step 5: Solve for x
    x = 72,863,587,329.48/256,911.33
  6. Step 6: Final answer
    x = 283,613.76

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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.