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Finding the Fourth Proportional to 310,611.20, 465,686.40 and 132,972.80

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Solution

The fourth proportional to 310,611.20, 465,686.40 and 132,972.80 is: 199,360.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,611.20 : 465,686.40 = 132,972.80 : x
  2. Step 2: Convert to fraction form
    310,611.20/465,686.40 = 132,972.80/x
  3. Step 3: Cross multiply
    310,611.20x = 465,686.40 × 132,972.80
  4. Step 4: Simplify right side
    310,611.20x = 61,923,624,529.92
  5. Step 5: Solve for x
    x = 61,923,624,529.92/310,611.20
  6. Step 6: Final answer
    x = 199,360.57

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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.