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Finding the Fourth Proportional to 256,364.82, 383,789.95 and 189,360.02

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Solution

The fourth proportional to 256,364.82, 383,789.95 and 189,360.02 is: 283,480.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,364.82 : 383,789.95 = 189,360.02 : x
  2. Step 2: Convert to fraction form
    256,364.82/383,789.95 = 189,360.02/x
  3. Step 3: Cross multiply
    256,364.82x = 383,789.95 × 189,360.02
  4. Step 4: Simplify right side
    256,364.82x = 72,674,472,607.80
  5. Step 5: Solve for x
    x = 72,674,472,607.80/256,364.82
  6. Step 6: Final answer
    x = 283,480.68

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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.