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Finding the Fourth Proportional to 318,884.50, 478,348.62 and 105,652

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Solution

The fourth proportional to 318,884.50, 478,348.62 and 105,652 is: 158,485.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,884.50 : 478,348.62 = 105,652 : x
  2. Step 2: Convert to fraction form
    318,884.50/478,348.62 = 105,652/x
  3. Step 3: Cross multiply
    318,884.50x = 478,348.62 × 105,652
  4. Step 4: Simplify right side
    318,884.50x = 50,538,488,400.24
  5. Step 5: Solve for x
    x = 50,538,488,400.24/318,884.50
  6. Step 6: Final answer
    x = 158,485.25

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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.