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Finding the Fourth Proportional to 457,134, 685,568.61 and 137,272.95

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Solution

The fourth proportional to 457,134, 685,568.61 and 137,272.95 is: 205,869.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,134 : 685,568.61 = 137,272.95 : x
  2. Step 2: Convert to fraction form
    457,134/685,568.61 = 137,272.95/x
  3. Step 3: Cross multiply
    457,134x = 685,568.61 × 137,272.95
  4. Step 4: Simplify right side
    457,134x = 94,110,025,522.10
  5. Step 5: Solve for x
    x = 94,110,025,522.10/457,134
  6. Step 6: Final answer
    x = 205,869.67

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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.