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Finding the Fourth Proportional to 256,960.65, 385,219.34 and 123,657.53

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Solution

The fourth proportional to 256,960.65, 385,219.34 and 123,657.53 is: 185,379.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,960.65 : 385,219.34 = 123,657.53 : x
  2. Step 2: Convert to fraction form
    256,960.65/385,219.34 = 123,657.53/x
  3. Step 3: Cross multiply
    256,960.65x = 385,219.34 × 123,657.53
  4. Step 4: Simplify right side
    256,960.65x = 47,635,271,474.34
  5. Step 5: Solve for x
    x = 47,635,271,474.34/256,960.65
  6. Step 6: Final answer
    x = 185,379.63

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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.