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Finding the Fourth Proportional to 422,594,124.40, 633,891,186.60 and 259,335,449.20

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Solution

The fourth proportional to 422,594,124.40, 633,891,186.60 and 259,335,449.20 is: 389,003,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,594,124.40 : 633,891,186.60 = 259,335,449.20 : x
  2. Step 2: Convert to fraction form
    422,594,124.40/633,891,186.60 = 259,335,449.20/x
  3. Step 3: Cross multiply
    422,594,124.40x = 633,891,186.60 × 259,335,449.20
  4. Step 4: Simplify right side
    422,594,124.40x = 164,390,455,620,832,032
  5. Step 5: Solve for x
    x = 164,390,455,620,832,032/422,594,124.40
  6. Step 6: Final answer
    x = 389,003,173.80

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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.