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Finding the Fourth Proportional to 409,425.12, 614,021.04 and 259,439.04

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Solution

The fourth proportional to 409,425.12, 614,021.04 and 259,439.04 is: 389,084.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,425.12 : 614,021.04 = 259,439.04 : x
  2. Step 2: Convert to fraction form
    409,425.12/614,021.04 = 259,439.04/x
  3. Step 3: Cross multiply
    409,425.12x = 614,021.04 × 259,439.04
  4. Step 4: Simplify right side
    409,425.12x = 159,301,029,157.40
  5. Step 5: Solve for x
    x = 159,301,029,157.40/409,425.12
  6. Step 6: Final answer
    x = 389,084.65

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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.