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Finding the Fourth Proportional to 256,394.86, 384,729.99 and 106,738.45

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Solution

The fourth proportional to 256,394.86, 384,729.99 and 106,738.45 is: 160,165.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,394.86 : 384,729.99 = 106,738.45 : x
  2. Step 2: Convert to fraction form
    256,394.86/384,729.99 = 106,738.45/x
  3. Step 3: Cross multiply
    256,394.86x = 384,729.99 × 106,738.45
  4. Step 4: Simplify right side
    256,394.86x = 41,065,482,801.12
  5. Step 5: Solve for x
    x = 41,065,482,801.12/256,394.86
  6. Step 6: Final answer
    x = 160,165.00

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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.