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Finding the Fourth Proportional to 463,617.76, 639,164.34 and 396,357.28

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Solution

The fourth proportional to 463,617.76, 639,164.34 and 396,357.28 is: 546,436.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,617.76 : 639,164.34 = 396,357.28 : x
  2. Step 2: Convert to fraction form
    463,617.76/639,164.34 = 396,357.28/x
  3. Step 3: Cross multiply
    463,617.76x = 639,164.34 × 396,357.28
  4. Step 4: Simplify right side
    463,617.76x = 253,337,439,275.40
  5. Step 5: Solve for x
    x = 253,337,439,275.40/463,617.76
  6. Step 6: Final answer
    x = 546,436.01

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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.