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Finding the Fourth Proportional to 319,255.56, 478,883.34 and 82,622.16

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Solution

The fourth proportional to 319,255.56, 478,883.34 and 82,622.16 is: 123,933.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,255.56 : 478,883.34 = 82,622.16 : x
  2. Step 2: Convert to fraction form
    319,255.56/478,883.34 = 82,622.16/x
  3. Step 3: Cross multiply
    319,255.56x = 478,883.34 × 82,622.16
  4. Step 4: Simplify right side
    319,255.56x = 39,566,375,938.81
  5. Step 5: Solve for x
    x = 39,566,375,938.81/319,255.56
  6. Step 6: Final answer
    x = 123,933.24

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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.