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Finding the Fourth Proportional to 319,162.65, 478,760.37 and 82,507.38

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Solution

The fourth proportional to 319,162.65, 478,760.37 and 82,507.38 is: 123,765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,162.65 : 478,760.37 = 82,507.38 : x
  2. Step 2: Convert to fraction form
    319,162.65/478,760.37 = 82,507.38/x
  3. Step 3: Cross multiply
    319,162.65x = 478,760.37 × 82,507.38
  4. Step 4: Simplify right side
    319,162.65x = 39,501,263,776.53
  5. Step 5: Solve for x
    x = 39,501,263,776.53/319,162.65
  6. Step 6: Final answer
    x = 123,765.31

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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.