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Finding the Fourth Proportional to 409,420.85, 614,131.26 and 159,927.89

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Solution

The fourth proportional to 409,420.85, 614,131.26 and 159,927.89 is: 239,891.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,420.85 : 614,131.26 = 159,927.89 : x
  2. Step 2: Convert to fraction form
    409,420.85/614,131.26 = 159,927.89/x
  3. Step 3: Cross multiply
    409,420.85x = 614,131.26 × 159,927.89
  4. Step 4: Simplify right side
    409,420.85x = 98,216,716,594.84
  5. Step 5: Solve for x
    x = 98,216,716,594.84/409,420.85
  6. Step 6: Final answer
    x = 239,891.83

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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.