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Finding the Fourth Proportional to 408,004.96, 611,772 and 158,395.36

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Solution

The fourth proportional to 408,004.96, 611,772 and 158,395.36 is: 237,501.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,004.96 : 611,772 = 158,395.36 : x
  2. Step 2: Convert to fraction form
    408,004.96/611,772 = 158,395.36/x
  3. Step 3: Cross multiply
    408,004.96x = 611,772 × 158,395.36
  4. Step 4: Simplify right side
    408,004.96x = 96,901,846,177.92
  5. Step 5: Solve for x
    x = 96,901,846,177.92/408,004.96
  6. Step 6: Final answer
    x = 237,501.64

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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.