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Finding the Fourth Proportional to 405,247.12, 607,863.96 and 155,983.12

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Solution

The fourth proportional to 405,247.12, 607,863.96 and 155,983.12 is: 233,972.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,247.12 : 607,863.96 = 155,983.12 : x
  2. Step 2: Convert to fraction form
    405,247.12/607,863.96 = 155,983.12/x
  3. Step 3: Cross multiply
    405,247.12x = 607,863.96 × 155,983.12
  4. Step 4: Simplify right side
    405,247.12x = 94,816,517,016.36
  5. Step 5: Solve for x
    x = 94,816,517,016.36/405,247.12
  6. Step 6: Final answer
    x = 233,972.09

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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.