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Finding the Fourth Proportional to 422,593,809.40, 633,890,714.10 and 259,335,134.20

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Solution

The fourth proportional to 422,593,809.40, 633,890,714.10 and 259,335,134.20 is: 389,002,701.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,593,809.40 : 633,890,714.10 = 259,335,134.20 : x
  2. Step 2: Convert to fraction form
    422,593,809.40/633,890,714.10 = 259,335,134.20/x
  3. Step 3: Cross multiply
    422,593,809.40x = 633,890,714.10 × 259,335,134.20
  4. Step 4: Simplify right side
    422,593,809.40x = 164,390,133,409,257,344
  5. Step 5: Solve for x
    x = 164,390,133,409,257,344/422,593,809.40
  6. Step 6: Final answer
    x = 389,002,701.30

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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.