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Finding the Fourth Proportional to 256,135.74, 384,474.15 and 143,911.86

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Solution

The fourth proportional to 256,135.74, 384,474.15 and 143,911.86 is: 216,019.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,135.74 : 384,474.15 = 143,911.86 : x
  2. Step 2: Convert to fraction form
    256,135.74/384,474.15 = 143,911.86/x
  3. Step 3: Cross multiply
    256,135.74x = 384,474.15 × 143,911.86
  4. Step 4: Simplify right side
    256,135.74x = 55,330,390,048.42
  5. Step 5: Solve for x
    x = 55,330,390,048.42/256,135.74
  6. Step 6: Final answer
    x = 216,019.80

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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.