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Finding the Fourth Proportional to 256,811.72, 384,655.84 and 130,233.83

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Solution

The fourth proportional to 256,811.72, 384,655.84 and 130,233.83 is: 195,065.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,811.72 : 384,655.84 = 130,233.83 : x
  2. Step 2: Convert to fraction form
    256,811.72/384,655.84 = 130,233.83/x
  3. Step 3: Cross multiply
    256,811.72x = 384,655.84 × 130,233.83
  4. Step 4: Simplify right side
    256,811.72x = 50,095,201,026.20
  5. Step 5: Solve for x
    x = 50,095,201,026.20/256,811.72
  6. Step 6: Final answer
    x = 195,065.87

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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.