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Finding the Fourth Proportional to 429,289.36, 643,934 and 148,806.56

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Solution

The fourth proportional to 429,289.36, 643,934 and 148,806.56 is: 223,209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,289.36 : 643,934 = 148,806.56 : x
  2. Step 2: Convert to fraction form
    429,289.36/643,934 = 148,806.56/x
  3. Step 3: Cross multiply
    429,289.36x = 643,934 × 148,806.56
  4. Step 4: Simplify right side
    429,289.36x = 95,821,603,407.04
  5. Step 5: Solve for x
    x = 95,821,603,407.04/429,289.36
  6. Step 6: Final answer
    x = 223,209.83

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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.