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Finding the Fourth Proportional to 256,980.38, 385,561.85 and 114,812.63

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Solution

The fourth proportional to 256,980.38, 385,561.85 and 114,812.63 is: 172,259.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,980.38 : 385,561.85 = 114,812.63 : x
  2. Step 2: Convert to fraction form
    256,980.38/385,561.85 = 114,812.63/x
  3. Step 3: Cross multiply
    256,980.38x = 385,561.85 × 114,812.63
  4. Step 4: Simplify right side
    256,980.38x = 44,267,367,524.29
  5. Step 5: Solve for x
    x = 44,267,367,524.29/256,980.38
  6. Step 6: Final answer
    x = 172,259.72

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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.