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Finding the Fourth Proportional to 321,965.52, 482,948.25 and 111,603.42

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Solution

The fourth proportional to 321,965.52, 482,948.25 and 111,603.42 is: 167,405.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,965.52 : 482,948.25 = 111,603.42 : x
  2. Step 2: Convert to fraction form
    321,965.52/482,948.25 = 111,603.42/x
  3. Step 3: Cross multiply
    321,965.52x = 482,948.25 × 111,603.42
  4. Step 4: Simplify right side
    321,965.52x = 53,898,676,383.02
  5. Step 5: Solve for x
    x = 53,898,676,383.02/321,965.52
  6. Step 6: Final answer
    x = 167,405.12

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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.