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Finding the Fourth Proportional to 319,640.36, 478,933.67 and 286,679.54

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Solution

The fourth proportional to 319,640.36, 478,933.67 and 286,679.54 is: 429,546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,640.36 : 478,933.67 = 286,679.54 : x
  2. Step 2: Convert to fraction form
    319,640.36/478,933.67 = 286,679.54/x
  3. Step 3: Cross multiply
    319,640.36x = 478,933.67 × 286,679.54
  4. Step 4: Simplify right side
    319,640.36x = 137,300,486,120.15
  5. Step 5: Solve for x
    x = 137,300,486,120.15/319,640.36
  6. Step 6: Final answer
    x = 429,546.78

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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.