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Finding the Fourth Proportional to 393,103.28, 542,497.56 and 214,255.28

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Solution

The fourth proportional to 393,103.28, 542,497.56 and 214,255.28 is: 295,680.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,103.28 : 542,497.56 = 214,255.28 : x
  2. Step 2: Convert to fraction form
    393,103.28/542,497.56 = 214,255.28/x
  3. Step 3: Cross multiply
    393,103.28x = 542,497.56 × 214,255.28
  4. Step 4: Simplify right side
    393,103.28x = 116,232,966,617.12
  5. Step 5: Solve for x
    x = 116,232,966,617.12/393,103.28
  6. Step 6: Final answer
    x = 295,680.48

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1.5x scale

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.