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Finding the Fourth Proportional to 328,406.36, 492,610.74 and 91,748.66

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Solution

The fourth proportional to 328,406.36, 492,610.74 and 91,748.66 is: 137,623.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,406.36 : 492,610.74 = 91,748.66 : x
  2. Step 2: Convert to fraction form
    328,406.36/492,610.74 = 91,748.66/x
  3. Step 3: Cross multiply
    328,406.36x = 492,610.74 × 91,748.66
  4. Step 4: Simplify right side
    328,406.36x = 45,196,375,296.61
  5. Step 5: Solve for x
    x = 45,196,375,296.61/328,406.36
  6. Step 6: Final answer
    x = 137,623.33

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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.