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Finding the Fourth Proportional to 486,636.24, 729,785.28 and 270,824.28

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Solution

The fourth proportional to 486,636.24, 729,785.28 and 270,824.28 is: 406,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,636.24 : 729,785.28 = 270,824.28 : x
  2. Step 2: Convert to fraction form
    486,636.24/729,785.28 = 270,824.28/x
  3. Step 3: Cross multiply
    486,636.24x = 729,785.28 × 270,824.28
  4. Step 4: Simplify right side
    486,636.24x = 197,643,573,010.60
  5. Step 5: Solve for x
    x = 197,643,573,010.60/486,636.24
  6. Step 6: Final answer
    x = 406,142.32

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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.