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Finding the Fourth Proportional to 319,982.88, 480,001.90 and 83,326

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Solution

The fourth proportional to 319,982.88, 480,001.90 and 83,326 is: 124,996.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,982.88 : 480,001.90 = 83,326 : x
  2. Step 2: Convert to fraction form
    319,982.88/480,001.90 = 83,326/x
  3. Step 3: Cross multiply
    319,982.88x = 480,001.90 × 83,326
  4. Step 4: Simplify right side
    319,982.88x = 39,996,638,319.40
  5. Step 5: Solve for x
    x = 39,996,638,319.40/319,982.88
  6. Step 6: Final answer
    x = 124,996.18

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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.