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Finding the Fourth Proportional to 422,593,808.40, 633,890,712.60 and 259,335,133.20

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Solution

The fourth proportional to 422,593,808.40, 633,890,712.60 and 259,335,133.20 is: 389,002,699.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,593,808.40 : 633,890,712.60 = 259,335,133.20 : x
  2. Step 2: Convert to fraction form
    422,593,808.40/633,890,712.60 = 259,335,133.20/x
  3. Step 3: Cross multiply
    422,593,808.40x = 633,890,712.60 × 259,335,133.20
  4. Step 4: Simplify right side
    422,593,808.40x = 164,390,132,386,363,904
  5. Step 5: Solve for x
    x = 164,390,132,386,363,904/422,593,808.40
  6. Step 6: Final answer
    x = 389,002,699.80

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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.