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Finding the Fourth Proportional to 282,895.79, 424,546.37 and 102,980.84

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Solution

The fourth proportional to 282,895.79, 424,546.37 and 102,980.84 is: 154,545.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,895.79 : 424,546.37 = 102,980.84 : x
  2. Step 2: Convert to fraction form
    282,895.79/424,546.37 = 102,980.84/x
  3. Step 3: Cross multiply
    282,895.79x = 424,546.37 × 102,980.84
  4. Step 4: Simplify right side
    282,895.79x = 43,720,141,286.65
  5. Step 5: Solve for x
    x = 43,720,141,286.65/282,895.79
  6. Step 6: Final answer
    x = 154,545.04

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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.