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Finding the Fourth Proportional to 409,493.54, 614,327.78 and 143,262.74

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Solution

The fourth proportional to 409,493.54, 614,327.78 and 143,262.74 is: 214,924.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,493.54 : 614,327.78 = 143,262.74 : x
  2. Step 2: Convert to fraction form
    409,493.54/614,327.78 = 143,262.74/x
  3. Step 3: Cross multiply
    409,493.54x = 614,327.78 × 143,262.74
  4. Step 4: Simplify right side
    409,493.54x = 88,010,281,020.92
  5. Step 5: Solve for x
    x = 88,010,281,020.92/409,493.54
  6. Step 6: Final answer
    x = 214,924.71

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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.