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Finding the Fourth Proportional to 320,431.81, 480,227.25 and 235,795.68

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Solution

The fourth proportional to 320,431.81, 480,227.25 and 235,795.68 is: 353,384.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,431.81 : 480,227.25 = 235,795.68 : x
  2. Step 2: Convert to fraction form
    320,431.81/480,227.25 = 235,795.68/x
  3. Step 3: Cross multiply
    320,431.81x = 480,227.25 × 235,795.68
  4. Step 4: Simplify right side
    320,431.81x = 113,235,510,968.28
  5. Step 5: Solve for x
    x = 113,235,510,968.28/320,431.81
  6. Step 6: Final answer
    x = 353,384.11

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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.