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Finding the Fourth Proportional to 292,519.65, 438,795.89 and 82,141.19

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Solution

The fourth proportional to 292,519.65, 438,795.89 and 82,141.19 is: 123,216.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,519.65 : 438,795.89 = 82,141.19 : x
  2. Step 2: Convert to fraction form
    292,519.65/438,795.89 = 82,141.19/x
  3. Step 3: Cross multiply
    292,519.65x = 438,795.89 × 82,141.19
  4. Step 4: Simplify right side
    292,519.65x = 36,043,216,571.71
  5. Step 5: Solve for x
    x = 36,043,216,571.71/292,519.65
  6. Step 6: Final answer
    x = 123,216.39

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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.