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Finding the Fourth Proportional to 455,854.40, 683,781.60 and 329,883.20

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Solution

The fourth proportional to 455,854.40, 683,781.60 and 329,883.20 is: 494,824.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,854.40 : 683,781.60 = 329,883.20 : x
  2. Step 2: Convert to fraction form
    455,854.40/683,781.60 = 329,883.20/x
  3. Step 3: Cross multiply
    455,854.40x = 683,781.60 × 329,883.20
  4. Step 4: Simplify right side
    455,854.40x = 225,568,062,309.12
  5. Step 5: Solve for x
    x = 225,568,062,309.12/455,854.40
  6. Step 6: Final answer
    x = 494,824.80

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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.