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Finding the Fourth Proportional to 453,529.14, 680,392.12 and 137,977.85

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Solution

The fourth proportional to 453,529.14, 680,392.12 and 137,977.85 is: 206,996.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,529.14 : 680,392.12 = 137,977.85 : x
  2. Step 2: Convert to fraction form
    453,529.14/680,392.12 = 137,977.85/x
  3. Step 3: Cross multiply
    453,529.14x = 680,392.12 × 137,977.85
  4. Step 4: Simplify right side
    453,529.14x = 93,879,038,817.53
  5. Step 5: Solve for x
    x = 93,879,038,817.53/453,529.14
  6. Step 6: Final answer
    x = 206,996.71

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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.