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Finding the Fourth Proportional to 230,599, 318,489.06 and 155,016.28

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Solution

The fourth proportional to 230,599, 318,489.06 and 155,016.28 is: 214,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,599 : 318,489.06 = 155,016.28 : x
  2. Step 2: Convert to fraction form
    230,599/318,489.06 = 155,016.28/x
  3. Step 3: Cross multiply
    230,599x = 318,489.06 × 155,016.28
  4. Step 4: Simplify right side
    230,599x = 49,370,989,301.90
  5. Step 5: Solve for x
    x = 49,370,989,301.90/230,599
  6. Step 6: Final answer
    x = 214,098.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.