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Finding the Fourth Proportional to 342,782.68, 513,504.42 and 236,147.80

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Solution

The fourth proportional to 342,782.68, 513,504.42 and 236,147.80 is: 353,760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,782.68 : 513,504.42 = 236,147.80 : x
  2. Step 2: Convert to fraction form
    342,782.68/513,504.42 = 236,147.80/x
  3. Step 3: Cross multiply
    342,782.68x = 513,504.42 × 236,147.80
  4. Step 4: Simplify right side
    342,782.68x = 121,262,939,073.28
  5. Step 5: Solve for x
    x = 121,262,939,073.28/342,782.68
  6. Step 6: Final answer
    x = 353,760.40

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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.