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Finding the Fourth Proportional to 409,409.98, 614,030.24 and 109,819.33

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Solution

The fourth proportional to 409,409.98, 614,030.24 and 109,819.33 is: 164,706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,409.98 : 614,030.24 = 109,819.33 : x
  2. Step 2: Convert to fraction form
    409,409.98/614,030.24 = 109,819.33/x
  3. Step 3: Cross multiply
    409,409.98x = 614,030.24 × 109,819.33
  4. Step 4: Simplify right side
    409,409.98x = 67,432,388,296.01
  5. Step 5: Solve for x
    x = 67,432,388,296.01/409,409.98
  6. Step 6: Final answer
    x = 164,706.27

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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.