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Finding the Fourth Proportional to 422,312.78, 633,338.04 and 152,405.84

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Solution

The fourth proportional to 422,312.78, 633,338.04 and 152,405.84 is: 228,561.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,312.78 : 633,338.04 = 152,405.84 : x
  2. Step 2: Convert to fraction form
    422,312.78/633,338.04 = 152,405.84/x
  3. Step 3: Cross multiply
    422,312.78x = 633,338.04 × 152,405.84
  4. Step 4: Simplify right side
    422,312.78x = 96,524,415,990.15
  5. Step 5: Solve for x
    x = 96,524,415,990.15/422,312.78
  6. Step 6: Final answer
    x = 228,561.44

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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.