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Finding the Fourth Proportional to 342,783.56, 513,978.06 and 132,393.80

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Solution

The fourth proportional to 342,783.56, 513,978.06 and 132,393.80 is: 198,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,783.56 : 513,978.06 = 132,393.80 : x
  2. Step 2: Convert to fraction form
    342,783.56/513,978.06 = 132,393.80/x
  3. Step 3: Cross multiply
    342,783.56x = 513,978.06 × 132,393.80
  4. Step 4: Simplify right side
    342,783.56x = 68,047,508,480.03
  5. Step 5: Solve for x
    x = 68,047,508,480.03/342,783.56
  6. Step 6: Final answer
    x = 198,514.50

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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.