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Finding the Fourth Proportional to 256,392.30, 383,841 and 149,449.08

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Solution

The fourth proportional to 256,392.30, 383,841 and 149,449.08 is: 223,737.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,392.30 : 383,841 = 149,449.08 : x
  2. Step 2: Convert to fraction form
    256,392.30/383,841 = 149,449.08/x
  3. Step 3: Cross multiply
    256,392.30x = 383,841 × 149,449.08
  4. Step 4: Simplify right side
    256,392.30x = 57,364,684,316.28
  5. Step 5: Solve for x
    x = 57,364,684,316.28/256,392.30
  6. Step 6: Final answer
    x = 223,737.94

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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.