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Finding the Fourth Proportional to 326,197.67, 488,894.91 and 155,509.31

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Solution

The fourth proportional to 326,197.67, 488,894.91 and 155,509.31 is: 233,072.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,197.67 : 488,894.91 = 155,509.31 : x
  2. Step 2: Convert to fraction form
    326,197.67/488,894.91 = 155,509.31/x
  3. Step 3: Cross multiply
    326,197.67x = 488,894.91 × 155,509.31
  4. Step 4: Simplify right side
    326,197.67x = 76,027,707,672.14
  5. Step 5: Solve for x
    x = 76,027,707,672.14/326,197.67
  6. Step 6: Final answer
    x = 233,072.51

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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.