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Finding the Fourth Proportional to 328,992.80, 493,604.40 and 142,138.40

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Solution

The fourth proportional to 328,992.80, 493,604.40 and 142,138.40 is: 213,257.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,992.80 : 493,604.40 = 142,138.40 : x
  2. Step 2: Convert to fraction form
    328,992.80/493,604.40 = 142,138.40/x
  3. Step 3: Cross multiply
    328,992.80x = 493,604.40 × 142,138.40
  4. Step 4: Simplify right side
    328,992.80x = 70,160,139,648.96
  5. Step 5: Solve for x
    x = 70,160,139,648.96/328,992.80
  6. Step 6: Final answer
    x = 213,257.37

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1.5x scale

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.