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Finding the Fourth Proportional to 342,238.80, 513,358.20 and 142,492.80

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Solution

The fourth proportional to 342,238.80, 513,358.20 and 142,492.80 is: 213,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,238.80 : 513,358.20 = 142,492.80 : x
  2. Step 2: Convert to fraction form
    342,238.80/513,358.20 = 142,492.80/x
  3. Step 3: Cross multiply
    342,238.80x = 513,358.20 × 142,492.80
  4. Step 4: Simplify right side
    342,238.80x = 73,149,847,320.96
  5. Step 5: Solve for x
    x = 73,149,847,320.96/342,238.80
  6. Step 6: Final answer
    x = 213,739.20

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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.