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Finding the Fourth Proportional to 453,405.65, 680,083.87 and 137,837.95

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Solution

The fourth proportional to 453,405.65, 680,083.87 and 137,837.95 is: 206,749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,405.65 : 680,083.87 = 137,837.95 : x
  2. Step 2: Convert to fraction form
    453,405.65/680,083.87 = 137,837.95/x
  3. Step 3: Cross multiply
    453,405.65x = 680,083.87 × 137,837.95
  4. Step 4: Simplify right side
    453,405.65x = 93,741,368,895.65
  5. Step 5: Solve for x
    x = 93,741,368,895.65/453,405.65
  6. Step 6: Final answer
    x = 206,749.45

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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.