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Finding the Fourth Proportional to 486,005.20, 729,007.80 and 409,022.80

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Solution

The fourth proportional to 486,005.20, 729,007.80 and 409,022.80 is: 613,534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,005.20 : 729,007.80 = 409,022.80 : x
  2. Step 2: Convert to fraction form
    486,005.20/729,007.80 = 409,022.80/x
  3. Step 3: Cross multiply
    486,005.20x = 729,007.80 × 409,022.80
  4. Step 4: Simplify right side
    486,005.20x = 298,180,811,577.84
  5. Step 5: Solve for x
    x = 298,180,811,577.84/486,005.20
  6. Step 6: Final answer
    x = 613,534.20

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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.