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Finding the Fourth Proportional to 319,104.28, 478,713.34 and 105,885

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Solution

The fourth proportional to 319,104.28, 478,713.34 and 105,885 is: 158,846.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,104.28 : 478,713.34 = 105,885 : x
  2. Step 2: Convert to fraction form
    319,104.28/478,713.34 = 105,885/x
  3. Step 3: Cross multiply
    319,104.28x = 478,713.34 × 105,885
  4. Step 4: Simplify right side
    319,104.28x = 50,688,562,005.90
  5. Step 5: Solve for x
    x = 50,688,562,005.90/319,104.28
  6. Step 6: Final answer
    x = 158,846.39

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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.