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Finding the Fourth Proportional to 429,627.56, 644,358.29 and 408,290.00

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Solution

The fourth proportional to 429,627.56, 644,358.29 and 408,290.00 is: 612,356.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,627.56 : 644,358.29 = 408,290.00 : x
  2. Step 2: Convert to fraction form
    429,627.56/644,358.29 = 408,290.00/x
  3. Step 3: Cross multiply
    429,627.56x = 644,358.29 × 408,290.00
  4. Step 4: Simplify right side
    429,627.56x = 263,085,040,960.86
  5. Step 5: Solve for x
    x = 263,085,040,960.86/429,627.56
  6. Step 6: Final answer
    x = 612,356.07

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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.