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Finding the Fourth Proportional to 318,954, 478,431 and 131,970.36

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Solution

The fourth proportional to 318,954, 478,431 and 131,970.36 is: 197,955.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,954 : 478,431 = 131,970.36 : x
  2. Step 2: Convert to fraction form
    318,954/478,431 = 131,970.36/x
  3. Step 3: Cross multiply
    318,954x = 478,431 × 131,970.36
  4. Step 4: Simplify right side
    318,954x = 63,138,711,305.16
  5. Step 5: Solve for x
    x = 63,138,711,305.16/318,954
  6. Step 6: Final answer
    x = 197,955.54

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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.