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Finding the Fourth Proportional to 409,814.80, 614,066.10 and 259,786.60

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Solution

The fourth proportional to 409,814.80, 614,066.10 and 259,786.60 is: 389,263.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,814.80 : 614,066.10 = 259,786.60 : x
  2. Step 2: Convert to fraction form
    409,814.80/614,066.10 = 259,786.60/x
  3. Step 3: Cross multiply
    409,814.80x = 614,066.10 × 259,786.60
  4. Step 4: Simplify right side
    409,814.80x = 159,526,144,294.26
  5. Step 5: Solve for x
    x = 159,526,144,294.26/409,814.80
  6. Step 6: Final answer
    x = 389,263.99

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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.