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Finding the Fourth Proportional to 318,884.63, 478,348.81 and 105,652.13

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Solution

The fourth proportional to 318,884.63, 478,348.81 and 105,652.13 is: 158,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,884.63 : 478,348.81 = 105,652.13 : x
  2. Step 2: Convert to fraction form
    318,884.63/478,348.81 = 105,652.13/x
  3. Step 3: Cross multiply
    318,884.63x = 478,348.81 × 105,652.13
  4. Step 4: Simplify right side
    318,884.63x = 50,538,568,003.59
  5. Step 5: Solve for x
    x = 50,538,568,003.59/318,884.63
  6. Step 6: Final answer
    x = 158,485.43

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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.