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Finding the Fourth Proportional to 381,629.84, 572,510.72 and 128,912.15

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Solution

The fourth proportional to 381,629.84, 572,510.72 and 128,912.15 is: 193,390.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,629.84 : 572,510.72 = 128,912.15 : x
  2. Step 2: Convert to fraction form
    381,629.84/572,510.72 = 128,912.15/x
  3. Step 3: Cross multiply
    381,629.84x = 572,510.72 × 128,912.15
  4. Step 4: Simplify right side
    381,629.84x = 73,803,589,566.81
  5. Step 5: Solve for x
    x = 73,803,589,566.81/381,629.84
  6. Step 6: Final answer
    x = 193,390.51

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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.