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Finding the Fourth Proportional to 256,250.82, 384,157.53 and 181,134.66

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Solution

The fourth proportional to 256,250.82, 384,157.53 and 181,134.66 is: 271,547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,250.82 : 384,157.53 = 181,134.66 : x
  2. Step 2: Convert to fraction form
    256,250.82/384,157.53 = 181,134.66/x
  3. Step 3: Cross multiply
    256,250.82x = 384,157.53 × 181,134.66
  4. Step 4: Simplify right side
    256,250.82x = 69,584,243,582.99
  5. Step 5: Solve for x
    x = 69,584,243,582.99/256,250.82
  6. Step 6: Final answer
    x = 271,547.40

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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.