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Finding the Fourth Proportional to 409,678.88, 614,518.32 and 129,224.48

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Solution

The fourth proportional to 409,678.88, 614,518.32 and 129,224.48 is: 193,836.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,678.88 : 614,518.32 = 129,224.48 : x
  2. Step 2: Convert to fraction form
    409,678.88/614,518.32 = 129,224.48/x
  3. Step 3: Cross multiply
    409,678.88x = 614,518.32 × 129,224.48
  4. Step 4: Simplify right side
    409,678.88x = 79,410,810,352.47
  5. Step 5: Solve for x
    x = 79,410,810,352.47/409,678.88
  6. Step 6: Final answer
    x = 193,836.72

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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.