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Finding the Fourth Proportional to 256,849.14, 384,751.47 and 209,632.50

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Solution

The fourth proportional to 256,849.14, 384,751.47 and 209,632.50 is: 314,022.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,849.14 : 384,751.47 = 209,632.50 : x
  2. Step 2: Convert to fraction form
    256,849.14/384,751.47 = 209,632.50/x
  3. Step 3: Cross multiply
    256,849.14x = 384,751.47 × 209,632.50
  4. Step 4: Simplify right side
    256,849.14x = 80,656,412,534.78
  5. Step 5: Solve for x
    x = 80,656,412,534.78/256,849.14
  6. Step 6: Final answer
    x = 314,022.51

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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.