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Finding the Fourth Proportional to 409,514.94, 614,359.89 and 143,284.14

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Solution

The fourth proportional to 409,514.94, 614,359.89 and 143,284.14 is: 214,956.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,514.94 : 614,359.89 = 143,284.14 : x
  2. Step 2: Convert to fraction form
    409,514.94/614,359.89 = 143,284.14/x
  3. Step 3: Cross multiply
    409,514.94x = 614,359.89 × 143,284.14
  4. Step 4: Simplify right side
    409,514.94x = 88,028,028,489.14
  5. Step 5: Solve for x
    x = 88,028,028,489.14/409,514.94
  6. Step 6: Final answer
    x = 214,956.82

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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.