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Finding the Fourth Proportional to 319,564.80, 479,654.40 and 161,971.20

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Solution

The fourth proportional to 319,564.80, 479,654.40 and 161,971.20 is: 243,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,564.80 : 479,654.40 = 161,971.20 : x
  2. Step 2: Convert to fraction form
    319,564.80/479,654.40 = 161,971.20/x
  3. Step 3: Cross multiply
    319,564.80x = 479,654.40 × 161,971.20
  4. Step 4: Simplify right side
    319,564.80x = 77,690,198,753.28
  5. Step 5: Solve for x
    x = 77,690,198,753.28/319,564.80
  6. Step 6: Final answer
    x = 243,112.50

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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.