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Finding the Fourth Proportional to 408,858.51, 613,313.73 and 128,386.83

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Solution

The fourth proportional to 408,858.51, 613,313.73 and 128,386.83 is: 192,588.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,858.51 : 613,313.73 = 128,386.83 : x
  2. Step 2: Convert to fraction form
    408,858.51/613,313.73 = 128,386.83/x
  3. Step 3: Cross multiply
    408,858.51x = 613,313.73 × 128,386.83
  4. Step 4: Simplify right side
    408,858.51x = 78,741,405,590.18
  5. Step 5: Solve for x
    x = 78,741,405,590.18/408,858.51
  6. Step 6: Final answer
    x = 192,588.40

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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.