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Finding the Fourth Proportional to 319,085.32, 478,629.54 and 82,411.60

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Solution

The fourth proportional to 319,085.32, 478,629.54 and 82,411.60 is: 123,617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,085.32 : 478,629.54 = 82,411.60 : x
  2. Step 2: Convert to fraction form
    319,085.32/478,629.54 = 82,411.60/x
  3. Step 3: Cross multiply
    319,085.32x = 478,629.54 × 82,411.60
  4. Step 4: Simplify right side
    319,085.32x = 39,444,626,198.66
  5. Step 5: Solve for x
    x = 39,444,626,198.66/319,085.32
  6. Step 6: Final answer
    x = 123,617.80

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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.