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Finding the Fourth Proportional to 320,461.71, 480,272.08 and 235,825.71

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Solution

The fourth proportional to 320,461.71, 480,272.08 and 235,825.71 is: 353,429.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,461.71 : 480,272.08 = 235,825.71 : x
  2. Step 2: Convert to fraction form
    320,461.71/480,272.08 = 235,825.71/x
  3. Step 3: Cross multiply
    320,461.71x = 480,272.08 × 235,825.71
  4. Step 4: Simplify right side
    320,461.71x = 113,260,501,268.25
  5. Step 5: Solve for x
    x = 113,260,501,268.25/320,461.71
  6. Step 6: Final answer
    x = 353,429.13

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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.