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Finding the Fourth Proportional to 486,464.16, 729,200.16 and 275,656.80

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Solution

The fourth proportional to 486,464.16, 729,200.16 and 275,656.80 is: 413,204.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,464.16 : 729,200.16 = 275,656.80 : x
  2. Step 2: Convert to fraction form
    486,464.16/729,200.16 = 275,656.80/x
  3. Step 3: Cross multiply
    486,464.16x = 729,200.16 × 275,656.80
  4. Step 4: Simplify right side
    486,464.16x = 201,008,982,665.09
  5. Step 5: Solve for x
    x = 201,008,982,665.09/486,464.16
  6. Step 6: Final answer
    x = 413,204.09

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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.