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Finding the Fourth Proportional to 422,004.47, 634,378.34 and 338,677.67

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Solution

The fourth proportional to 422,004.47, 634,378.34 and 338,677.67 is: 509,117.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,004.47 : 634,378.34 = 338,677.67 : x
  2. Step 2: Convert to fraction form
    422,004.47/634,378.34 = 338,677.67/x
  3. Step 3: Cross multiply
    422,004.47x = 634,378.34 × 338,677.67
  4. Step 4: Simplify right side
    422,004.47x = 214,849,780,522.31
  5. Step 5: Solve for x
    x = 214,849,780,522.31/422,004.47
  6. Step 6: Final answer
    x = 509,117.32

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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.