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Finding the Fourth Proportional to 230,598, 318,487.68 and 155,015.28

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Solution

The fourth proportional to 230,598, 318,487.68 and 155,015.28 is: 214,097.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,598 : 318,487.68 = 155,015.28 : x
  2. Step 2: Convert to fraction form
    230,598/318,487.68 = 155,015.28/x
  3. Step 3: Cross multiply
    230,598x = 318,487.68 × 155,015.28
  4. Step 4: Simplify right side
    230,598x = 49,370,456,891.75
  5. Step 5: Solve for x
    x = 49,370,456,891.75/230,598
  6. Step 6: Final answer
    x = 214,097.51

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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.