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Finding the Fourth Proportional to 256,029.81, 384,082.76 and 82,863.61

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Solution

The fourth proportional to 256,029.81, 384,082.76 and 82,863.61 is: 124,307.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,029.81 : 384,082.76 = 82,863.61 : x
  2. Step 2: Convert to fraction form
    256,029.81/384,082.76 = 82,863.61/x
  3. Step 3: Cross multiply
    256,029.81x = 384,082.76 × 82,863.61
  4. Step 4: Simplify right side
    256,029.81x = 31,826,483,279.32
  5. Step 5: Solve for x
    x = 31,826,483,279.32/256,029.81
  6. Step 6: Final answer
    x = 124,307.72

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1.5x scale

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.