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Finding the Fourth Proportional to 427,754.75, 590,261.18 and 255,638.48

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Solution

The fourth proportional to 427,754.75, 590,261.18 and 255,638.48 is: 352,756.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,754.75 : 590,261.18 = 255,638.48 : x
  2. Step 2: Convert to fraction form
    427,754.75/590,261.18 = 255,638.48/x
  3. Step 3: Cross multiply
    427,754.75x = 590,261.18 × 255,638.48
  4. Step 4: Simplify right side
    427,754.75x = 150,893,466,628.71
  5. Step 5: Solve for x
    x = 150,893,466,628.71/427,754.75
  6. Step 6: Final answer
    x = 352,756.97

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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.