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Finding the Fourth Proportional to 463,012.80, 694,519.20 and 458,097.60

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Solution

The fourth proportional to 463,012.80, 694,519.20 and 458,097.60 is: 687,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,012.80 : 694,519.20 = 458,097.60 : x
  2. Step 2: Convert to fraction form
    463,012.80/694,519.20 = 458,097.60/x
  3. Step 3: Cross multiply
    463,012.80x = 694,519.20 × 458,097.60
  4. Step 4: Simplify right side
    463,012.80x = 318,157,578,673.92
  5. Step 5: Solve for x
    x = 318,157,578,673.92/463,012.80
  6. Step 6: Final answer
    x = 687,146.40

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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.