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Finding the Fourth Proportional to 447,161.28, 617,127.84 and 256,200

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Solution

The fourth proportional to 447,161.28, 617,127.84 and 256,200 is: 353,581.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,161.28 : 617,127.84 = 256,200 : x
  2. Step 2: Convert to fraction form
    447,161.28/617,127.84 = 256,200/x
  3. Step 3: Cross multiply
    447,161.28x = 617,127.84 × 256,200
  4. Step 4: Simplify right side
    447,161.28x = 158,108,152,608
  5. Step 5: Solve for x
    x = 158,108,152,608/447,161.28
  6. Step 6: Final answer
    x = 353,581.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.