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Finding the Fourth Proportional to 409,814.34, 614,349.39 and 143,429.54

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Solution

The fourth proportional to 409,814.34, 614,349.39 and 143,429.54 is: 215,014.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,814.34 : 614,349.39 = 143,429.54 : x
  2. Step 2: Convert to fraction form
    409,814.34/614,349.39 = 143,429.54/x
  3. Step 3: Cross multiply
    409,814.34x = 614,349.39 × 143,429.54
  4. Step 4: Simplify right side
    409,814.34x = 88,115,847,873.09
  5. Step 5: Solve for x
    x = 88,115,847,873.09/409,814.34
  6. Step 6: Final answer
    x = 215,014.07

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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.