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Finding the Fourth Proportional to 405,965.20, 609,034.20 and 125,510.80

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Solution

The fourth proportional to 405,965.20, 609,034.20 and 125,510.80 is: 188,292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,965.20 : 609,034.20 = 125,510.80 : x
  2. Step 2: Convert to fraction form
    405,965.20/609,034.20 = 125,510.80/x
  3. Step 3: Cross multiply
    405,965.20x = 609,034.20 × 125,510.80
  4. Step 4: Simplify right side
    405,965.20x = 76,440,369,669.36
  5. Step 5: Solve for x
    x = 76,440,369,669.36/405,965.20
  6. Step 6: Final answer
    x = 188,292.91

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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.