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Finding the Fourth Proportional to 422,736,009.60, 634,104,014.40 and 193,153,497.60

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Solution

The fourth proportional to 422,736,009.60, 634,104,014.40 and 193,153,497.60 is: 289,730,246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,736,009.60 : 634,104,014.40 = 193,153,497.60 : x
  2. Step 2: Convert to fraction form
    422,736,009.60/634,104,014.40 = 193,153,497.60/x
  3. Step 3: Cross multiply
    422,736,009.60x = 634,104,014.40 × 193,153,497.60
  4. Step 4: Simplify right side
    422,736,009.60x = 122,479,408,223,560,752
  5. Step 5: Solve for x
    x = 122,479,408,223,560,752/422,736,009.60
  6. Step 6: Final answer
    x = 289,730,246.40

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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.