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Finding the Fourth Proportional to 318,608.12, 477,616.80 and 141,020.48

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Solution

The fourth proportional to 318,608.12, 477,616.80 and 141,020.48 is: 211,399.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,608.12 : 477,616.80 = 141,020.48 : x
  2. Step 2: Convert to fraction form
    318,608.12/477,616.80 = 141,020.48/x
  3. Step 3: Cross multiply
    318,608.12x = 477,616.80 × 141,020.48
  4. Step 4: Simplify right side
    318,608.12x = 67,353,750,392.06
  5. Step 5: Solve for x
    x = 67,353,750,392.06/318,608.12
  6. Step 6: Final answer
    x = 211,399.98

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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.