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Finding the Fourth Proportional to 429,403.08, 644,104.62 and 113,884.59

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Solution

The fourth proportional to 429,403.08, 644,104.62 and 113,884.59 is: 170,826.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,403.08 : 644,104.62 = 113,884.59 : x
  2. Step 2: Convert to fraction form
    429,403.08/644,104.62 = 113,884.59/x
  3. Step 3: Cross multiply
    429,403.08x = 644,104.62 × 113,884.59
  4. Step 4: Simplify right side
    429,403.08x = 73,353,590,565.81
  5. Step 5: Solve for x
    x = 73,353,590,565.81/429,403.08
  6. Step 6: Final answer
    x = 170,826.89

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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.