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Finding the Fourth Proportional to 522,915.86, 721,609.88 and 296,556.50

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Solution

The fourth proportional to 522,915.86, 721,609.88 and 296,556.50 is: 409,240.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,915.86 : 721,609.88 = 296,556.50 : x
  2. Step 2: Convert to fraction form
    522,915.86/721,609.88 = 296,556.50/x
  3. Step 3: Cross multiply
    522,915.86x = 721,609.88 × 296,556.50
  4. Step 4: Simplify right side
    522,915.86x = 213,998,100,378.22
  5. Step 5: Solve for x
    x = 213,998,100,378.22/522,915.86
  6. Step 6: Final answer
    x = 409,240.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.