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Finding the Fourth Proportional to 409,391.12, 613,970.04 and 259,405.04

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Solution

The fourth proportional to 409,391.12, 613,970.04 and 259,405.04 is: 389,033.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,391.12 : 613,970.04 = 259,405.04 : x
  2. Step 2: Convert to fraction form
    409,391.12/613,970.04 = 259,405.04/x
  3. Step 3: Cross multiply
    409,391.12x = 613,970.04 × 259,405.04
  4. Step 4: Simplify right side
    409,391.12x = 159,266,922,785.00
  5. Step 5: Solve for x
    x = 159,266,922,785.00/409,391.12
  6. Step 6: Final answer
    x = 389,033.65

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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.