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Finding the Fourth Proportional to 805,609,828.96, 1,208,615,856.01 and 280,986,469.61

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Solution

The fourth proportional to 805,609,828.96, 1,208,615,856.01 and 280,986,469.61 is: 421,549,849.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,609,828.96 : 1,208,615,856.01 = 280,986,469.61 : x
  2. Step 2: Convert to fraction form
    805,609,828.96/1,208,615,856.01 = 280,986,469.61/x
  3. Step 3: Cross multiply
    805,609,828.96x = 1,208,615,856.01 × 280,986,469.61
  4. Step 4: Simplify right side
    805,609,828.96x = 339,604,702,494,964,864
  5. Step 5: Solve for x
    x = 339,604,702,494,964,864/805,609,828.96
  6. Step 6: Final answer
    x = 421,549,849.92

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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.