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Finding the Fourth Proportional to 256,561.10, 384,678.64 and 225,034.48

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Solution

The fourth proportional to 256,561.10, 384,678.64 and 225,034.48 is: 337,408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,561.10 : 384,678.64 = 225,034.48 : x
  2. Step 2: Convert to fraction form
    256,561.10/384,678.64 = 225,034.48/x
  3. Step 3: Cross multiply
    256,561.10x = 384,678.64 × 225,034.48
  4. Step 4: Simplify right side
    256,561.10x = 86,565,957,719.51
  5. Step 5: Solve for x
    x = 86,565,957,719.51/256,561.10
  6. Step 6: Final answer
    x = 337,408.74

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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.