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Finding the Fourth Proportional to 329,238,019.20, 493,857,028.80 and 275,668,766.40

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Solution

The fourth proportional to 329,238,019.20, 493,857,028.80 and 275,668,766.40 is: 413,503,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,238,019.20 : 493,857,028.80 = 275,668,766.40 : x
  2. Step 2: Convert to fraction form
    329,238,019.20/493,857,028.80 = 275,668,766.40/x
  3. Step 3: Cross multiply
    329,238,019.20x = 493,857,028.80 × 275,668,766.40
  4. Step 4: Simplify right side
    329,238,019.20x = 136,140,957,907,265,264
  5. Step 5: Solve for x
    x = 136,140,957,907,265,264/329,238,019.20
  6. Step 6: Final answer
    x = 413,503,149.60

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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.