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Finding the Fourth Proportional to 409,618.35, 614,704.14 and 143,381.07

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Solution

The fourth proportional to 409,618.35, 614,704.14 and 143,381.07 is: 215,168.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,618.35 : 614,704.14 = 143,381.07 : x
  2. Step 2: Convert to fraction form
    409,618.35/614,704.14 = 143,381.07/x
  3. Step 3: Cross multiply
    409,618.35x = 614,704.14 × 143,381.07
  4. Step 4: Simplify right side
    409,618.35x = 88,136,937,326.63
  5. Step 5: Solve for x
    x = 88,136,937,326.63/409,618.35
  6. Step 6: Final answer
    x = 215,168.43

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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.