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Finding the Fourth Proportional to 320,431.83, 480,227.36 and 235,795.74

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Solution

The fourth proportional to 320,431.83, 480,227.36 and 235,795.74 is: 353,384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,431.83 : 480,227.36 = 235,795.74 : x
  2. Step 2: Convert to fraction form
    320,431.83/480,227.36 = 235,795.74/x
  3. Step 3: Cross multiply
    320,431.83x = 480,227.36 × 235,795.74
  4. Step 4: Simplify right side
    320,431.83x = 113,235,564,540.47
  5. Step 5: Solve for x
    x = 113,235,564,540.47/320,431.83
  6. Step 6: Final answer
    x = 353,384.26

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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.